Rich Lundgren's Vita
EDUCATION
| Institution |
Date |
Degree |
Major |
| Ohio State University |
1971 |
Ph.D. |
Mathematics |
| Ohio State University |
1969 |
M.S. |
Mathematics |
| Worcester Polytechnic |
1964 |
B.S. |
Electrical Engineering |
PROFESSIONAL EXPERIENCE
- 2001-2003: University of Colorado at Denver, Chair, Department of
Mathematics
- 1986-present: University of Colorado at Denver, Professor, Department of Mathematics
- 1984-1990: University of Colorado at Denver, Chairman, Department of Mathematics
- 1981-1986: Universtiy of Colorado at Denver, Associate Professor, Department of Mathematics
- 1979-1980: National Science Foundation Faculty Development Grant - visiting
research professor at University of Colorado
- 1976-1981: Allegheny College - Associate Professor
- 1971-1976: Allegheny College - Assistant Professor
- 1967-1971: Ohio State University - Teaching Associate Mathematics Department
- 1964-1967: New England Telephone Company - Project Engineer, Assignments
included voice frequency and data special services design group and microwave
systems design group.
REFEREED PUBLICATIONS
- 1973: On Finite Simple Groups All of Whose 2-Local Subgroups are Solvable, J. Algebra 27,
491-515.
- 1976: On Finite Simple Groups in which the Centralizer M of an Involution is Solvable and 02(M)
is Extraspecial, J. Algebra 41, 1-15 (with S.K. Wong).
- 1979: Solvability of Factorizable Groups I, J. Algebra 57, 230-235 (with D. Finkel).
- 1979: Solvability of Factorizable Groups II, J. Algebra 60, 43-50 (with D. Finkel).
- 1981: Graph-theoretic Foundations of Computer-assisted Analysis, Computer-Assisted Analysis
and Model Simplification, Academic Press. Inc., 481-495 (with H. Greenberg and J. Maybee).
- 1981: Graph Theoretic Methods for the Qualitative Analysis of Rectangular Matrices, SIAM J.
on Algebraic and Discrete Methods 2, 227-239 (with H. Greenberg and J. Maybee).
- 1983: Rectangular Matrices and Signed Graphs, SIAM J. on Algebraic and Discrete Methods 4,
227-239 (with H. Greenberg and J. Maybee).
- 1983: A Characterization of Graphs of Competition Number m, Discrete Applied Math. 6, 319-322 (with J. Maybee).
- 1983: A Characterization of Upper Bound Graphs, Congressus Numerantium 40, 189-193 (with
J. Maybee).
- 1984: Inverting Graphs of Rectangular Matrices, Discrete Applied Math 8, 255-265 (with H.
Greenberg and J. Maybee).
- 1984: Food Webs with Interval Competition Graphs, Graphs and Applications, Proceedings of
the First Colorado Symposium on Graph Theory, John Wiley & Sons, Inc. 245-256 (with J.
Maybee).
- 1984: Block Graphs and Their Matrix Duals, Graphs and Applications, Proceedings of the First
Colorado Symposium on Graph Theory, John Wiley and Sons, Inc. 231-244 (with J. Maybee).
- 1985: Signed Graphs of Netforms, Congressus Numerantium 44, 105-115 (with H. Greenberg and
J. Maybee).
- 1985: A Class of Maximal L-matrices, Congressus Numerantium 44, 239-249 (with J. Maybee).
- 1985: The Inversion of 2-Step Graphs, J. Comb. Infor. and System Sci., Vol. 8, No. 1, 33-43
(with H. Greenberg and J. Maybee).
- 1985: On Signed Digraphs with All Cycles Negative, Discrete Applied Math 12, 155-164 (with
F. Harary and J. Maybee).
- 1985: Clique Covers of Digraphs II, Congressus Numerantium 48, 211-218 (with K. Jones and
J. Maybee).
- 1986: Biclique Covers of Regular Digraphs, Congressus Numerantium 53, 147-154 (with C.
Barefoot, K. Jones, and J. Maybee).
- 1986: Biclique Covers of the Complement of a Cycle and of a Path in a Digraph, Congressus
Numerantium 53, 133-146 (with C. Barefoot, K. Hefner, and K. Jones).
- 1987: Biclique Covers and Partitions of Acyclic Digraphs, Congressus Numerantium 59, 135-146
(with K. Hefner).
- 1987: Some Remarks on the Double Competition Number of a Graph, Congressus Numerantium
60, 17-24 (with K. Jones, F. Roberts, S. Seager).
- 1988: A Note on the Biclique Covering Numbers of Kn\Km and Complete t-partite Graphs,
Congressus Numerantium 68, 181-184 (with K. Jones, N. Pullman, and R. Rees).
- 1988: Two-Graph Inversion of Competition Graphs and Uper Bound Graphs, Congressus
Numerantium 67, 136-144 (with J. Maybee and F. McMorris).
- 1989: Niche Graphs, Discrete Applied Math 23, 231-241 (with C. Cable, K. Jones, S. Seager).
- 1989: Extensions of Graph Inversion to Support an Artificially Intelligent Modeling Environment,
Annals of Operations Research 21, 127-142 (with H. Greenberg and J. Maybee).
- 1989: Competition Graphs, Competition-Common Enemy Graphs, and Niche Graphs,
Applications of Combinatorics and Graph Theory to the Biological and Social Sciences, Springer-Verlag, 221-244.
- 1990: Minimum Matrix Rank of k-regular {0,1}-Matrices, Linear Algebra and its Applications
133, 43-52 (with Kim Hefner).
- 1990: An Application of Generalized Competition Graphs to the Channel Assignment Problem,
Congressus Numerantium 71, 217-224 (with J. Maybee and C. Rasmussen).
- 1990: Biclique Coverings of Bigraphs and Digraphs and Minimum Semiring Ranks of {0,1}-Matrices, Congressus Numerantium 71, 115-122 (with K. Hefner, T. Henson, and J. Maybee).
- 1990: Bounds on the Competition Number of a Multigraph, Ars Combinatoria, 29B, 185-192
(with C. Anderson, K. Jones, and T. McKee).
- 1990: Minimum Boolean Factorizations of Tournament Codes, Congressus Numerantium 78, 61-70 (with G. Bain and J. Maybee).
- 1991: Biclique Coverings of Regular Digraphs and Minimum Semiring Ranks of Regular
Matrices, Journal of Combinatorial Theory, Series B, Vol 51, No. 1l, 73-89 (with D. Gregory,
K. Jones, and N. Pullman).
- 1991: i,j Competition Graphs, Discrete Applied Math 32, 241-262 (with K. Hefner, S. Kim, K.
Jones and F. Roberts).
- 1991: Some Properties of a Class of Recursively Defined Digraphs, J. of Combinatorics,
Information and System Sciences, 16, 29-36 (with J. Maybee).
- 1991: A Suggestion for New Niche Numbers for Graphs, Congressus Numerantium 81, 23-32
(with C. Anderson, K. Jones, and S. Seager).
- 1991: Interval Graphs with Noninterval Competition Graphs, Congressus Numerantium 82, 105-116 (with C. Rasmussen).
- 1992: Biclique Covers and Partitions of Unipathic Digraphs, Graphs, Matrices and Design Lecture
Notes in Pure and Applied Math, Marcel Dekker, Inc., 213-224 (with K. Hefner and J. Maybee).
- 1992: Real Rank as a Bound for Nonnegative Integer Rank, J. of Combinatorial Mathematics and
Combinatorial Computing 11, 47-53 (with D. DeCaen, D. Gregory, T. Henson, and J. Maybee).
- 1992: Minimum Boolean Rank of Tournament Matrices, Congressus Numerantium 91, 55-62
(with G. Bain and J. Maybee)
- 1993: Interval Competition Graphs of Symmetric Digraphs, Discrete Math 119, 113-122 (with
J. Maybee and C. Rasmussen).
- 1993: Two-Step Graphs of Trees, Discrete Math 119, 123-129 (with C. Rasmussen)
- 1993: Niche Graphs and Unit Interval Graphs, Congressus Numerantium 93, 83-90 (with C.
Anderson, S. Bowser and C. Cable).
- 1994: A Characterization of Graphs with Interval Squares, Congressus Numerantium 98, 132-142
(with S. Merz and C. Rasmussen).
- 1994: "Elimination Ordering Characterizations of Digraphs with Internal and Chordal Competion
Graphs," Congressus Numerantium 103, 55-64 (with S. Merz).
- 1994: "New Classes of p-Competition Graphs and í-Tolerance Competition Graphs," Congressus
Numerantium 100, 97-107 (with C.A. Anderson, L. Langley, P.A. McKenna and S.K. Merz).
- 1995: A Characterization of Graphs with Interval Two-Step Graphs, Linear Algebra and Its
Applications 217, 203-223 (with J. Maybee, S. Merz, and C. Rasmussen).
- 1995: Competition Graphs of Strongly Connected and Hamiltonian Digraphs, SIAM J. on
Discrete Math, Vol. 8, No. 2, 179-185 (with K. Fraughnaugh, J. Maybee, S. Merz and N.
Pullman).
- 1995: Chromatic Numbers of Competition Graphs," Linear Algebra and Its Applications 217,
225-239 (with S. Merz and C. Rasmussen).
- 1995: "Domination Graphs of Tournaments and Digraphs," Congressus Numerantium 108, 97-108 (with D. Fisher, S.K. Merz, and K.B. Reid).
- 1995: "Interval p-Neighborhood Graphs," Congressus Numerantium 108, 3-10 (with P.A.
McKenna, S.K. Merz, and C.W. Rasmussen).
- 1995: "The Competition Graphs of Interval Digraphs," Congressus Numerantium 107, 37-40
(with L. Langley and S.K. Merz).
- 1997: "Tournaments: Hamiltonian Paths and Cycles, Kings, Scores, Codes and
Graphs," Lie Algebras and Combinatorics, Proceedings of South Korean Workshop
on Algebra and Combinatorics, V.16, Part 1, 63-76.
- 1997: "p-Competition Graphs and p-Neighborhood Graphs," Lie Algebras and Combinatorics, Proceedings of South Korean Workshop
on Algebra and Combinatorics, V.16, Part 1, 39-62(with P. McKenna, S. Merz, and
Craig Rasmussen).
- 1997: "The Domination and Competition Graphs of Tournaments, "Lie Algebras and Combinatorics, Proceedings of South Korean Workshop
on Algebra and Combinatorics, V.16, Part 1, 27-38(with D. Fisher, S. Merz, and
B. Reid).
- 1997: "The p-Competition Graphs of Strongly Connected and Hamiltonian
Digraphs," Ars Combinatoria 47, 161-172(with L. Langley, S. Merz, P. McKenna,
and C. Rasmussen).
- 1997: "The Domination-Compliance Graph of a Tournament," Congressus Numerantium 123, 65-78(with G. Jimenez).
- 1997: "Posets with Interval or Chordal Strict Upper and Lower Bound Graphs,"Congressus Numerantium 125, 153-160(with L. Langley, S. Merz, and Craig
Rasmussen).
- 1998: "The Domination and Competition Graphs of Tournaments," Journal of
Graph Theory 29, 103-110(with D. Fisher, S. Merz, and B. Reid).
- 1998: "p-Competition Graphs of Symmetric Digraphs and p-Neighborhood Graphs," J. of Combinatorics, Information and System Sciences(with P. McKenna, S. Merz,and C. Rasmussen)
- 1998: "Domination Graphs of Regular Tournaments II," Congressus Numerantium
130, 95-111(with H. Cho, F. Doherty, and S. Kim)
- 1998: "Tournaments which yield Connected Domination Graphs," Congressus
Numerantium 131, 123-133(with G. Jimenez).
- 1999: "Niche Graphs and Mixed Pair Graphs of Tournaments," Journal of
Graph Theory 31, 319-332(with S. Bowser and C. Cable).
- 1999: "Chromatic Number, Planarity, and Clique Size of Domination-
Compliance Graphs," Congressus Numerantium 138, 13-31(with F. Doherty).
- 1999: "Biclique Covers and Partitions of Bipartite Graphs and Digraphs and
Related Matrix Ranks of {0,1}-Matrices," Congressus Numerantium 136, 73-96(with
F. Doherty and D. Siewert).
- 1999: "Connected Domination Graphs of Tournaments," Journal of
Combinatorial Mathematics and Combinatorial Computing 31, 169-176 (with
D. Fisher, S. Merz, and K.B. Reid).
- 2000: "Domination-Compliance Graphs are Planar," Congressus
Numerantium 146, 33-42 (with F. Doherty)
- 2000: "Bpipartite Graphs and Digraphs with Equal Biclique Cover and
Partition Numbers," Congressus Numerantium 146, 79-96(with D. Siewert)
- 2001: " Domination Graphs with Nontrivial Components,"
Graphs and Combinatorics vol. 17, no.2, 227-236 (with D. Fisher, D.
Guichard, S. Merz, and K.B. Reid)
- 2001: "Variations on Interval Graphs", Congressus Numerantium 149,
77-95(with
D. Brown and C. Miller).
- 2002: "Domination Graphs of Regular Tournaments,"
Discrete Mathematics 252, 57-71 (with H. Cho and S. Kim).
- 2002: "Domination Graphs of Tournaments with Isolated Vertices,"
Ars Combinatoria (with D. Fisher, D.
Guichard, S. Merz, and K.B. Reid)
- 2002 "Interval k-Graphs", Congressus Numerantium 156, 5-16(with D. Brown
and S. Flink)
- 2002 "Upset Tournaments with Equal Biclique Cover and Partition Numbers",
Congressus Numerantium 158, 67-82(with Daluss Siewert).
- 2002 "Characterizations of Interval Bigraphs and Unit Interval Bigraphs",
Congressus Numerantium 157, 79-93(with D. Brown and S. Flink)
- 2004 "Domination Graphs with 2 or 3 Nontrivial Components", Bulletin of
the ICA, Vol 40, 67-76(with D. Fisher, D. Guichard, S. Merz, and K.B. Reid)
- 2004 "Fully Indecomposable and Separable Tournament Matrices", Congressus
Numerantium 170, 17-27(with Dustin Stewart)
- 2004 "Relationships Among Classes of Interval Bigraphs, (0,1)-Matrices,
and Circular Arc Graphs, Congressus Numerantium 166, 97-123(with Dave Brown)
- 2005 "A Construction for Singular Tournament Matrices with Full
Boolean Rank", Congressus Numerantium 174, 161-183(with Dustin Stewart)
- 2006 "Quadrangularity and Strong Quadrangularity in Tournaments",
Australasian Journal of Combinatorics 34, 247-260(with K.B. Reid, Simone
Severini, and Dustin Stewart)
- 2006 "Bipartite Probe Interval Graphs, Circular Arc Graphs, and
Interval Point Bigraphs", Australasian Journal of Combinatorics 35,
221-236(with D. Brown)
- 2007 "The Domination Graphs of Complete Paired Comparison Digraphs,
Ars Combinatoria(with Dustin Stewart)
- 2007 "Interval Tournaments", Journal of Graph Theory DOI
10.1002/jgt, 72-81(with D. Brown and A. Busch)
- 2007 "P/d-Graphs of Tournaments", Ars Combinatoria 84, 293-309(with
F. Doherty)
PUBLICATIONS IN PRESS
PAPERS SUBMITTED
- "Boolean Rank of Upset Tournament Matrices", submitted to Ars
Combinatoria (with D. Siewert)
- "Quadrangularity in Tournaments", submitted to Discrete Math(with Simone
Severini and Dustin Stewart)
- "Cycle-free Unit and Proper Probe Interval Graphs", submitted to Discrete Applied
Math(with Dave Brown and Li Sheng)
- "Several Characterizations for Unit Interval Bigraphs", submitted to Ars
Combinatoria(with Dave Brown)
NON-REFEREED PUBLICATIONS
- 1988: An Application of Generalized Competition Graphs to the Channel Assignment Problem,
Proceedings of the ONR Workshop on Communications Networks (with J. Maybee).
- 1984: A Class of Qualitatively Singular Matrices, Technical Report, University of Colorado at
Denver (with J. Maybee).
- 1983: Adjacency Matrices for Graphs and Digraphs and Associated Rectangular Matrices,
Technical Report, University of Colorado at Denver (with J. Maybee).
- 1983: Competition Graphs and Associated Matrices, Abstracts of SIAM Meeting in Linear
Algebra and Its Applications (with J. Maybee).
- 1982: The Structure of Linear Programs, a Foundation for Computer-Assisted Analysis, EIA
Report, Department of Energy, Washington, D.C. (with H. Greenberg and J. Maybee).
- 1975: On Finite Simple Groups in which the Centralizer M of an Involution is Solvable, Technical
Report, Allegheny College.
PRESENTATIONS
- On Finite Simple Groups with Solvable 2-Local Subgroups, Dennison Group Theory
Conference, 1971, Invited Talk.
- On Simple Groups with Solvable Centralizers of Involutions, MAA Regional Conference, 1975.
- Competition Graphs and Associated Matrices, SIAM Meeting on Linear Algebra and Its
Applications, 1983, Invited Talk.
- Competition Graphs and Food Webs, Ulam Seminar, 1983, Invited Talk.
- Food Webs with Interval Competition Graphs, First Colorado Symposium on Graph Theory,
1983, Invited Talk.
- Signed Graphs of Netforms, Southeastern International Graph Theory Conference, 1984.
- Clique Covers of Digraphs, New Jersey Graph Theory Conference, 1984, Invited Talk.
- Clique Covers of Digraphs II, Southeastern International Graph Theory Conference, 1985.
- Biclique Covers of Regular Digraphs, Southeastern International Graph Theory Conference,
1986.
- Biclique Covers of Digraphs and Related Matrix Rank Problems, Advanced Research Institute
in Discrete Applied Mathematics, 1986, Invited Talk.
- Biclique Partitions of the Complement of a Cycle and a Path in a Digraph, Southeastern
International Graph Theory Conference, 1987.
- Food Webs, Competition Graphs, Competition Common Enemy Graphs, and Niche Graphs,
IMA Workshop on Applications of Graph Theory to the Biological and Social Sciences, University
of Minnesota, 1988, Invited Talk.
- Two-Graph Inversion of Competition Graphs and Upper Bound Graphs, Southeastern
International Graph Theory Conference, 1988.
- A Survey of applications of graphs to Food Webs, Florida Atlantic University, 1988, Invited
Talk.
- Minimum Ranks of m-regular Matrices, College of William and Mary, 1988, Invited Talk.
- i,j Competition Graphs, Advanced Research Institute in Discrete Applied Mathematics, 1988,
Invited Talk.
- An Application of Generalized Competition Graphs to the Channel Assignment Problem, ONR
Workshop on Communication Networks at Clemson University, 1988, Invited Talk.
- A Survey of Competition-Graphs, Queen's University, Wright State University, Naval Post-Graduate School, 1988, Invited Talks.
- i,j Competition Graphs, SIAM Conference on Discrete Math, 1988.
- Biclique Coverings of Graphs and Digraphs and Minimum Semiring Ranks, Southeastern
International Graph Theory Conference, 1989.
- Interval Competition Graphs and the Channel Assignment Problem, SIAM National
Conference, 1989, Invited Talk.
- Matrix Factorization of Tournament Codes, San Diego State University, 1989, Invited Talk.
- Biclique Covers and Boolean Factorizations of Tournament Matrices, Southeastern
International Graph Theory Conference, 1990.
- Biclique Covers and Matrix Factorization of Tournament Codes, AMS Midwest Regional
Meeting, 1990, Invited Talk.
- Competition Graphs of Strongly Connected and Hamiltonian Digraphs, Southeastern
International Graph Theory Conference, 1991.
- The 2-Step Number of a Graph, Southeastern International Graph Theory Conference, 1992.
- Interval Competition Graphs, Naval Postgraduate School, Invited talk, 1992.
- Interval 2-Step Graphs, SIAM Discrete Math Conference, Vancouver, 1992.
- Interval 2-Step Graphs, AMS Midwest Regional Meeting, 1992, invited talk.
- Inverting Competition Graphs, Southeastern International Graph Theory Conference, 1993.
- A Characterization of Graphs with Interval Two-Step Graphs, Conference on Graphs and
Matrices, Boulder, Colorado, 1993.
- Minimum Boolean Rank of Tournament Matrices, California State University at San Marcos,
1993.
- A Characterization of Digraphs with Interval and Chordal Competition Graphs, Southeastern
International Graph Theory Conference, 1994.
- Interval p-Neighborhood Graphs, Southeastern International Graph Theory Conference, 1995.
- Domination and Competition Graphs of Tournaments, AMS Southeast Regional Meeting,
1995, invited talk.
- Domination and Competition Graphs of Tournaments, Arizona State Universisty, 1995, invited
talk.
- Tournaments: Hamiltonian Paths and Cycles, Kings, Codes, and Domination Graphs,
University of Wyoming, 1995, invited talk.
- Domination and Competition Graphs of Tournaments, University of Central Florida, 1995,
invited talk.
- Tournaments: Hamiltonian Paths and Cycles, Kings, Codes, and Domination Graphs,
University of Central Florida, 1995, invited talk.
- Domination and Competition Graphs of Tournaments, Southeastern International Graph Theory
Conference, 1996.
- Domination and Competition Graphs of Tournaments, SIAM Discrete Math Meeting, 1996.
- Three talks on Tournaments, p-Competition and p-Neighborhood Graphs,
and Domination Graphs of Tournaments, main invited speaker, South Korean
Workshop on Algebra and Combinatorics, 1996
- Domination Graphs of Regular Tournaments, Southeastern International
Graph Theory Conference, 1997
- Digraphs with Interval or Chordal Competition and Resource Graphs,
Colorado-Wyoming Mini-Conference on Graphs and Matrices, 1997, invited
talk.
- John Maybee's Contributions to Combinatorial Matrix Theory, SIAM
Conference on Linear Algebra, 1997, invited talk.
- Tournaments: Hamiltonian Paths and Cycles, Kings, Codes and
Domination Graphs, California State University at San Marcos and Florida
Atlantic University, 1997, invited talks.
- John Maybee's Contributions to Combinatorial Matrix Theory,
Southeastern International Graph Theory Conference, 1998, lead talk in
special session I was invited to organize.
- Domination Graphs of Regular Tournaments, A Cool Day of Talks at
University of Wyoming, 1998, invited talk.
- Biclique Covers and Partitions of Bipartite Graphs and Related
Matrix Ranks of {0,1}-Matrices, Southeastern International Graph Theory
Conference, 1999.
- Applications of Tournaments and Interval Graphs to Problems in
Biology, Special Colloquium Celebrating Math Awareness Week at
University of Wyoming, 1999, invited talk.
- An Introduction to Probe Interval Graphs, Colorado-Wyoming
Mini-Conference on Graphs and Matrices, 1999, invited talk.
- Bipartite Graphs and Digraphs with Equal Biclique Cover and
Partition Numbers, lead talk in special session at Southeastern
International Graph Theory Conference, 2000, invited talk.
- Biclique Covers of Bipartite Graphs and Matrix Rank Problems,
Colorado-Wyoming Mini-Conference on Graphs and Matrices, 2000, invited
talk.
- An Application of Boolean Rank of {01,}-Matrices and Biclique Covers
of Bipartite Graphs to Human Leukocyte Antigen Serology, University of
Central Florida, 2000, invited talk.
- Probe-Clone Interval Graphs, Southeastern International Graph Theory
Conference, 2001
- Variations on Interval Graphs, American Math Society Regional
Meeting, Invited talk, 2001
- Variations on Interval Graphs, Midwest Graph Theory Conference, 2001
- Variations on Interval Graphs, SIAM Discrete Math Meeting, Invited Talk,
2002
- Unit Interval Bigraphs, Southeastern International Graph Theory
Conference, 2003
- Cycle-free unit probe interval graphs, Rocky Mountain Discrete Math Days,
invited talk, 2003
- Unit Interval and Unit Probe Interval Graphs, DIMACS Conference in honor
of Fred Roberts, invited talk, 2003
- Variations on Interval Graphs, Dartmouth College, Univ of Vermont, St.
Michaels College, Swarthmore College, invited talks, 2003
- Bipartite Probe Interval Graphs, Circular Arc Graphs and Interval Point
Bigraphs, Southeastern International Graph Theory Conference, 2004
- Interval Bigraphs and Bipartite Probe Interval Graphs, University of New
South Wales and University of Auckland, invited talks, 2004
- Interval Tournaments, Southeastern International Graph Theory Conference,
2005
- Interval Tournaments, Conference in honor of Joan Hutchinson, 2005
- The Enormous Problem: The Characterization of Finite Simple Groups,
invited talk at Colorado College, 2006
- A Class of Interval Digraphs, AMS/MAA National Meeting, invited
talk, 2008
PAPERS IN PROGRESS
- Biclique Covers of Digraphs and the Binary Rank of a Matrix
- Boolean Rank of Tournament Matrices
- Domination Graphs of Near Regular Tournaments
- When are Biclique Covering Numbers and Various Matrix Ranks Equal
- Interval Oriented Graphs
- Unit Probe Interval Graphs
- Unit Interval k-Graphs
- The Domination Graphs of Complete Paired Comparison Digraphs with no
Isolated Vertices
- Classes of Graphs with Unique Minimum Biclique Covers and Partitions
- A Construction for Singular Tournament Matrices with Full Boolean Rank
- Some Classes of Interval Bigraphs and Interval Digraphs
- Complements of Interval Tournaments
PROFESSIONAL ACTIVITIES
- 1974-1979: Coordinator of the Student Program for the Allegheny Mountain Section of the MAA
- 1976-Present: Referee for several journals
- 1980-Present: Reviewer for Math Reviews
- 1993: Coodinator of Conference on "Graphs and Matrices" in Boulder, Colorado.
- 1992-1994: Planning Committee for 1994 SIAM Discrete Math Conference.
- 1993-1996: Special Editor, Linear Algebra and its Applications.
- 1997-2003: Co-Chair, Colorado-Wyoming Mini-Conference on Graphs
and Matrices
- 2003-Present: Co-Chair, Rocky Mountain Discrete Math Days
PROFESSIONAL SOCIETY MEMBERSHIPS
- American Mathematical Society
- Mathematical Association of America
- Society for Industrial and Applied Mathematics (SIGNUM, Discrete and Linear Algebra special
interest groups)
GRANTS AND FELLOWSHIPS
- 1969 (summer): Summer research grant at Ohio State University for outstanding beginning
graduate student
- 1971 (summer): Summer research grant at Ohio State University for outstanding advanced
graduate student
- 1976: NSF grant for Duluth conference on Factorizable Groups
- 1979-1980: National Science Foundation Faculty Development Grant
- 1980 (March): Grant from the Department of Energy to participate in the DOE Symposium on
Computer-Assisted Analysis and Model Simplification
- 1980: Grant from the Department of Energy to visit DOE
- 1987-1990: Research grant from Office of Naval Research
- 1990-1993: Research grant from Office of Naval Research
- 1993-1996: AASERT grant, Office of Naval Research
- 1993-1996: Research grant from Office of Naval Research
- 1996-1999: Research grant from Office of Naval Research
- 2003-2005:National Science Foundation, grant to support Discrete Math
Conference, funded March, 2003
AWARDS
- 1991: CLAS Outstanding Service Award
- 1994: CLAS Outstanding Teaching Award
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