Selected Research Presentations



2016 The Ever-Changing World of Ramsey Numbers
MIGHTY LVII, Wright State Univeristy, Dayton Ohio

2015 Hamilton and Hamiltonian Graphs
COLLEGE OF CHARLESTON, Charleston, South Carolina.

From Connectivity to Coloring
The 29th MIDWEST CONFERENCE ON COMBINATORICS, CRYPTOGRAPHY AND COMPUTING, College of Charleston, South Carolina.

Hamiltonian Extension
ANNUAL MEETING OF AMERICAN MATHEMATICAL SOCIETY, San Antonio, TX

2014 A Graph Theoretic Division Algorithm
ANNUAL MEETING OF AMERICAN MATHEMATICAL SOCIETY, Baltimore, MD.

On the Eulerian Cycle Decomposition Conjecture
ANNUAL MEETING OF AMERICAN MATHEMATICAL SOCIETY, Baltimore, MD.

On Hamiltonian Graphs
MIGHTY LV, University of Detroit Mercy, MI

2013 Eulerian Graphs and a Cycle Decomposition Conjecture
The Yousef Alavi Memorial Symposium Western Michigan University, Kalamazoo, MI

On Cycle Decompositions of Eulerian Graphs
The 27th MIDWEST CONFERENCE ON COMBINATORICS, CRYPTOGRAPHY AND COMPUTING, Southwestern University, Georgetown, TX

Hamiltonian Walks in Graphs
ANNUAL MEETING OF AMERICAN MATHEMATICAL SOCIETY, San Diego, CA.

2012 Powers of Strong Digraphs
ANNUAL MEETING OF AMERICAN MATHEMATICAL SOCIETY, Boston, MA.

Modular and Graceful Colorings
FORTY-SECOND SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

The early years of what became graph theory
CALVIN COLLEGE, Grand Rapids, MI

A graph coloring view of some combinatorial problems
TWENTY-SIXTH MIDWEST CONFERENCE ON COMBINATORICS, CRYPTOGRAPHY AND COMPUTING, Southern Utah University, Cedar City, UT

2011 Two theorems on four colorings
ANNUAL MEETING OF AMERICAN MATHEMATICAL SOCIETY, New Orleans, LA.

On four colorings in graphs
FORTY-SECOND SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

Reflections on colorings
GRAND VALLEY STATE UNIVERSITY, Allendale, MI

Graph Theory -- 275 Years and Counting
THE MICHIGAN MAA & MichMATYC, WMU, Kalamazoo, MI

2010 Graph colorings that are sum colorings
FORTY-FIRST SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

Reflections on colorings
MIGHTY XLIX, University of Detroit Mercy, MI

2009 From checkerboards to graph colorings
FORTIETH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

Reflections on colorings
TEXAS A\& M UNIVERSITY at Galveston, TX.

Rainbow connectivities of graphs
TWENTY-THIRD MIDWEST CONFERENCE ON COMBINATORICS CRYPTOGRAPHY, AND COMPUTING, Rochester, NY.

2008 Hamiltonian colorings of graphs
THIRTY-NINTH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

Rainbow connectivities of graphs
CENTRAL SECTION OF THE AMS ANNUAL MEETING, Kalamazoo, MI.

Hamiltonian labelings of graphs
TWENTY-SECOND MIDWEST CONFERENCE ON COMBINATORICS CRYPTOGRAPHY, AND COMPUTING, Las Vegas, LV.

2007 From edge coloring to vertex coloring
THIRTY-EIGHTH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

Radio colorings of graphs
PEKING UNIVERSITY, Beijing, P. R. China

From a banquet seating problem to a graph coloring problem
YAN TAI UNIVERSITY, Yan Tai, P. R. China

2006 On Hamiltonian Walks in Graphs
ANNUAL MEETING OF THE AMERICAN MATHEMATICAL SOCIETY, San Antonio, TX.

Detectable colorings of graphs
SRINAKHARINWIROT UNIVERSITY, Bangkok, Thailand

Irregular colorings of graphs
PEKING UNIVERSITY, Beijing, P. R. China

Distance in graphs
TSINGHUA UNIVERSITY, Beijing, P. R. China

2005 Detectable colorings of graphs
THIRTY-SIXTH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

Domination and stratification in graphs
FUJIAN NORMAL UNIVERSITY, Fujian, P. R. China

Distance in graphs - Taking the long view
FUZHOU UNIVERSITY, Fuzhou, P. R. China

2004 Homogeneous embeddings and stratified graphs
ANNUAL MEETING OF THE AMERICAN MATHEMATICAL SOCIETY, Phoenix, AZ

Hamiltonian colorings of graphs
THIRTY-FIFTH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

On gamma-labelings of graphs
MIGHTY XXXVIII, Western Kentucky University

2003 Local Colorings of Graphs
THIRTY-FOURTH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

Homogeneous embeddings and stratified graphs
MIGHTY XXXVII, Valparaiso University at Valparaiso, IN

2002 Distance-Defined Subgraphs of a Graph
THIRTY-THIRD SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL

2001 Full domination in graphs
THIRTY-SECOND SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Baton Rouge, LA

Divisor graphs
MICHIGAN SECTION OF THE MAA ANNUAL MEETING, Hope College, MI.

2000 On the planarity of iterated jump graphs
FIFTEENTH CLEMSON MINI CONFERENCE, Clemson University, Clemson, SC.

Radio labelings of graphs
NINTH QUADRENNIAL INTERNATIONAL CONFERENCE ON GRAPH THEORY, COMBINATORICS, ALGORITHMS, AND APPLICATIONS
Western Michigan University, Kalamazoo, MI.

Don't touch that dial!
MICHIGAN SECTION OF THE MAA ANNUAL MEETING, Central Michigan University, MI.

On the metric dimension of a graph
THIRTY-FIRST SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL.

Full domination in graphs
ANNUAL MEETING OF THE AMERICAN MATHEMATICAL SOCIETY, Special Session on Graph Theory, Washington, DC

1999 Stratification and domination in graphs
MIGHTY XXXII, Indiana-Purdue University at Fort Wayne, MI.

Convexity in Graphs
MICHIGAN SECTION OF THE AMS ANNUAL MEETING, Eastern Michigan University, MI.

How large can the domination numbers of a graph be?
MIGHTY XXXI, Oakland University, MI.

The Steiner number and Steiner sets in graphs
THIRTIETH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL.

1998 On the planarity of jump graphs
MIGHTY XXX, Ball Sate University, IN.

Geodetic graphs and geodetic numbers in graphs
WINNIPEG COMBINATORICS MATHEMATICS CONFERENCE
University of Winnipeg, Winnipeg, CANADA

Graph representations by means of partitions and distance
TWENTY-NINTH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL.

1997 Arithmetic properties of generalized Euler numbers
ANNUAL MEETING OF THE AMERICAN MATHEMATICAL SOCIETY, San Diego, CA.

Truncated Boolean algebras as subspace arrangements
TWENTY-EIGHTH SOUTHEASTERN INTERNATIONAL CONFERENCE ON COMBINATORICS,GRAPH THEORY AND COMPUTING, Boca Raton, FL.

The characteristic polynomials of interpolations between Coxexter arrangements
CENTRAL SECTIONAL MEETING OF THE AMERICAN MATHEMATICAL SOCIETY, Special Session on Algebraic Combinatorics
Wayne State University, Detroit, MI.

Starfree biclique decompositions of complete graphs
MIGHTY XXVII, University of Wisconsin, Oshkosh, WI

Subspace arrangements and signed graphs
THE FIRST CONFERENCE OF YOUNG CHINESE MATHEMATICIANS IN NORTH AMERICA
University of California at Berkeley, Berkeley, CA.

The geodetic number of a graph
MIGHTY XXVIII, Eastern Michigan University, MI.

1996 Signed graphs and subspace arrangements
WESTERN MICHIGAN UNIVERSITY, Kalamazoo, MI.

The Wiener polynomial of a graph
EIGHTH QUADRENNIAL INTERNATIONAL CONFERENCE ON GRAPH THEORY, COMBINATORICS, ALGORITHMS, AND APPLICATIONS
Western Michigan University, Kalamazoo, MI.

1995 Subposets of Boolean algebras
UNIVERSITY of MICHIGAN, Ann Arbor, MI

The A, B and C in hyperplane arrangements
UNIVERSITY OF TEXAS AT EL PASO, El Paso, TX.

1994 The characteristic polynomials of hyperplane arrangements
INTERNATIONAL CONFERENCE ON ARRANGEMENTS OF HYPERPLANES
Marseilles, FRANCE.

Signed graphs
MIGHTY XXIII, Kalamazoo, MI

Subposets of Boolean algebras
MICHIGAN STATE UNIVERSITY, Lansing, MI