A selection of journal articles written by faculty in the College of the Pacific - Department of Mathematics at University of the Pacific.

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Submissions from 2018

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Interval k-Graphs and Orders, David E. Brown, Breeann M. Flesch, and Larry L. Langley

Submissions from 2017

Set chromatic number of a digraph, Sarah K. Merz and Larry L. Langley

Submissions from 2016

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Kings and Heirs: A Characterization of the (2,2)-Domination Graphs of Tournaments, Kim A. S. Factor and Larry L. Langley

Submissions from 2015

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Animating popular mathematics: a review of “The Simpsons and their Mathematical Secrets” by Simon Singh, Christopher D. Goff

Submissions from 2014

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How to Improve a Math History Assignment, Christopher D. Goff

Submissions from 2012

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Bipartite Unit Probe Interval Graphs, David E. Brown and Larry L. Langley

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Fusion rules for abelian extensions of Hopf algebras, Christopher D. Goff

Submissions from 2011

A characterization of connected (1, 2)-domination graphs of tournaments, Kim A. S. Factor and Larry L. Langley

Submissions from 2010

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Digraphs with isomorphic underlying and domination graphs: 4-cycles and pairs of paths, Kim A. S. Factor and Larry L. Langley

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Generalized twisted quantum doubles and the McKay correspondence, Christopher D. Goff and Geoffrey Mason

Submissions from 2009

An introduction to (1,2)-domination graphs, Kim A. S. Factor and Larry L. Langley

Submissions from 2008

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Characterization of digraphs with equal domination graphs and underlying graphs, Kim A. S. Factor and Larry L. Langley

Submissions from 2007

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Digraphs with isomorphic underlying and domination graphs: Connected UGc(D), Kim A. S. Factor and Larry L. Langley

Digraphs with isomorphic underlying and domination graphs: Pairs of paths in UGc(D), Kim A. S. Factor and Larry L. Langley

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To Boldly Go: Current Work and Future Directions in Mathematics and Popular Culture, Christopher D. Goff and Sarah Greenwald

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On the Gauge Equivalence of Twisted Quantum Doubles of Elementary Abelian and Extra-Special 2-Groups, Christopher D. Goff, Geoffrey Mason, and Siu-Hung Ng

Alliances in directed graphs, Larry L. Langley

Submissions from 2006

Domination parameters and Gallai-type theorems for directed trees, Jason Albertson, Audene Harris, Sarah K. Merz, and Larry L. Langley

Digraphs with isomorphic underlying and domination graphs: Components of K1, K2, or C4 in UGc(D), Kim A. S. Factor and Larry L. Langley

Submissions from 2005

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An explicit fusion algebra isomorphism for twisted quantum doubles of finite groups, Christopher D. Goff

Submissions from 2003

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A family of isomorphic fusion algebras of twisted quantum doubles of finite groups, Christopher D. Goff

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Benefits of a comprehensive undergraduate teaching assistant program, Christopher D. Goff and Brigitte Lahme

The number of alpha-dominating sets in tournaments, Sarah K. Merz and Larry L. Langley

Submissions from 2002

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Using Composition Techniques to Improve Classroom Instruction and Students’ Understanding of Proof, Christopher D. Goff

Alpha-domination in tournaments and digraphs, Sarah K. Merz, D. Stewart, C. Ward, and Larry L. Langley

Submissions from 2001

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Tolerance orders and bipartite unit tolerance graphs, Kenneth P. Bogart, Michael S. Jacobson, F. R. McMorris, and Larry L. Langley

Submissions from 1997

P3-connected graphs of minimum size, David C. Fisher, Kathryn Fraughnaugh, and Larry L. Langley

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The number of dependent arcs in an acyclic orientation, David C. Fisher, Kathryn Fraughnaugh, Douglas B. West, and Larry L. Langley

The p-competition graphs of strongly connected and Hamiltonian digraphs, J. Richard Lundgren, Patricia A. McKenna, Sarah K. Merz, Larry L. Langley, and Craig W. Rasmussen

Posets with interval or chordal strict upper and lower bound graphs, Sarah K. Merz, J. Richard Lundgren, Craig W. Rasmussen, and Larry L. Langley

Submissions from 1995

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Proper and unit tolerance graphs, Kenneth P. Bogart, Peter C. Fishburn, Garth Isaak, and Larry L. Langley

On C5-saturated graphs with minimum size, David C. Fisher, Kathryn Fraughnaugh, and Larry L. Langley

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A recognition algorithm for orders of interval dimension two, Larry L. Langley

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Irreexive and reexive dimension, Larry L. Langley

The competition graphs of interval digraphs, Sarah K. Merz, J. Richard Lundgren, and Larry L. Langley

Submissions from 1994

New classes of p-competition graphs and phi-tolerance competition graphs, C. A. Anderson, J. Richard Lundgren, Patricia A. McKenna, Larry L. Langley, and Sarah K. Merz

A note on bipartite interval tolerance graphs, Larry L. Langley