Peter D. Johnson Jr.

Affiliations:
  • Auburn University, Department of Mathematics and Statistics, Auburn, AL, USA
  • University of Reading, Department of Mathematics, Reading, UK (former)


According to our database1, Peter D. Johnson Jr. authored at least 38 papers between 1982 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

Timeline

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Bibliography

2023
Self-colorings of graphs.
Bull. ICA, 2023

Detecting Swarm Degradation: Measuring Human and Machine Performance.
Proceedings of the Virtual, Augmented and Mixed Reality, 2023

2020
Closed-neighborhood union-closed graphs.
Australas. J Comb., 2020

2019
On Rainbow-Cycle-Forbidding Edge Colorings of Finite Graphs.
Graphs Comb., 2019

2018
Edge Grundy numbers of the regular Turán graphs.
Bull. ICA, 2018

2017
Theta Graphs are Hall t-chromatic for all t=0,1,2,...
Bull. ICA, 2017

Connected minimum secure-dominating sets in grids.
AKCE Int. J. Graphs Comb., 2017

2015
Estimates of the choice numbers and the Ohba numbers of some complete multipartite graphs.
Ars Comb., 2015

2012
Integer and fractional security in graphs.
Discret. Appl. Math., 2012

Some Extremal Problems for Edge-Regular Graphs.
Ars Comb., 2012

2011
The connected hub number and the connected domination number.
Networks, 2011

Completing partial latin squares: Cropper's question.
Australas. J Comb., 2011

2010
List multicoloring problems involving the <i>k</i>-fold Hall numbers.
J. Graph Theory, 2010

2009
The fractional chromatic number, the Hall ratio, and the lexicographic product.
Discret. Math., 2009

2008
The Shields-Harary numbers of K<sub>m, n</sub> for continuous concave cost functions vanishing at 1.
Discret. Appl. Math., 2008

Fractional inverse and inverse fractional domination.
Ars Comb., 2008

2007
List multicolorings of graphs with measurable sets.
J. Graph Theory, 2007

Extending Hall's Theorem into List Colorings: A Partial History.
Int. J. Math. Math. Sci., 2007

2005
Generating Huffman sequences.
J. Algorithms, 2005

A class of inequalities relating degrees of adjacent nodes to the average degree in edge-weighted uniform hypergraphs.
Int. J. Math. Math. Sci., 2005

Problems on Hall t-chromaticity.
Ars Comb., 2005

2003
The structure of (<i>t, r</i>)-regular graphs of large order.
Discret. Math., 2003

2002
Coloring the Vertices of a Graph With Measurable Sets in a Probability Space.
Electron. Notes Discret. Math., 2002

Hall's condition for list-coloring, and the Hall parameters: recent developments.
Discret. Math., 2002

Which Graphs Have Hall Number Two?
Ars Comb., 2002

On an extremal subfamily of an extremal family of nearly strongly regular graphs.
Australas. J Comb., 2002

2001
Relations among the fractional chromatic, choice, Hall, and Hall-condition numbers of simple graphs.
Discret. Math., 2001

2000
Extending the disjoint-representatives theorems of Hall, Halmos, and Vaughan to list-multicolorings of graphs.
J. Graph Theory, 2000

Progress on the Hall-Number-Two problem.
Australas. J Comb., 2000

1999
The Hall Number, the Hall Index, and the Total Hall Number of a Graph.
Discret. Appl. Math., 1999

1996
Thwart numbers of some bipartite graphs.
Australas. J Comb., 1996

1990
Two-colorings of a dense subgroup of Q<sup>n</sup> that forbid many distances.
Discret. Math., 1990

1988
Reverse class critical multigraphs.
Discret. Math., 1988

1987
Another Extremal Property of Some Turan Graphs.
Eur. J. Comb., 1987

1986
Compatible additive permutations of finite integral bases.
Graphs Comb., 1986

Inequalities Relating Degrees of Adjacent Vertices to the Average Degree.
Eur. J. Comb., 1986

1984
Simple product colorings.
Discret. Math., 1984

1982
Coloring abelian groups.
Discret. Math., 1982


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