Mathew C. Francis

Orcid: 0000-0002-0498-7856

According to our database1, Mathew C. Francis authored at least 45 papers between 2006 and 2024.

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Bibliography

2024
A <i>p</i>-centered coloring for the grid using <i>O</i>(<i>p</i>) colors.
Discret. Math., January, 2024

Weakening Total Coloring Conjecture: Weak TCC and Hadwiger's Conjecture on Total Graphs.
Electron. J. Comb., 2024

Geometric Covering Number: Covering Points with Curves.
Proceedings of the Algorithms and Discrete Applied Mathematics, 2024

2023
The lexicographic method for the threshold cover problem.
Discret. Math., June, 2023

On the Kernel and Related Problems in Interval Digraphs.
Algorithmica, June, 2023

2022
On subclasses of interval count two and on Fishburn's conjecture.
Discret. Appl. Math., 2022

Extending some results on the second neighborhood conjecture.
Discret. Appl. Math., 2022

On graphs whose eternal vertex cover number and vertex cover number coincide.
Discret. Appl. Math., 2022

A p-centered coloring for the grid using O(p) colors.
CoRR, 2022

Bounding Threshold Dimension: Realizing Graphic Boolean Functions as the AND of Majority Gates.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2022

2021
On rectangle intersection graphs with stab number at most two.
Discret. Appl. Math., 2021

Variants of the Gyàrfàs-Sumner Conjecture: Oriented Trees and Rainbow Paths.
CoRR, 2021

Representing Graphs as the Intersection of Cographs and Threshold Graphs.
Electron. J. Comb., 2021

Recognizing k-Clique Extendible Orderings.
Algorithmica, 2021

2020
On the Stab Number of Rectangle Intersection Graphs.
Theory Comput. Syst., 2020

The Linear Arboricity Conjecture for 3-Degenerate Graphs.
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2020

2019
On Graphs with Minimal Eternal Vertex Cover Number.
Proceedings of the Algorithms and Discrete Applied Mathematics, 2019

2018
Uniquely Restricted Matchings in Interval Graphs.
SIAM J. Discret. Math., 2018

Dushnik-Miller dimension of d-dimensional tilings with boxes.
CoRR, 2018

The Second Neighborhood Conjecture for some Special Classes of Graphs.
CoRR, 2018

2017
Dushnik-Miller dimension of contact systems of d-dimensional boxes.
Electron. Notes Discret. Math., 2017

On Induced Colourful Paths in Triangle-free Graphs.
Electron. Notes Discret. Math., 2017

2016
Partially Polynomial Kernels for Set Cover and Test Cover.
SIAM J. Discret. Math., 2016

VPG and EPG bend-numbers of Halin graphs.
Discret. Appl. Math., 2016

2015
Strong Chromatic Index of Chordless Graphs.
J. Graph Theory, 2015

The Maximum Clique Problem in Multiple Interval Graphs.
Algorithmica, 2015

Forbidden structure characterization of circular-arc graphs and a certifying recognition algorithm.
Proceedings of the Twenty-Sixth Annual ACM-SIAM Symposium on Discrete Algorithms, 2015

2014
Blocking Quadruple: A New Obstruction to Circular-Arc Graphs.
SIAM J. Discret. Math., 2014

2013
Cubicity and Bandwidth.
Graphs Comb., 2013

Obstructions to chordal circular-arc graphs of small independence number.
Electron. Notes Discret. Math., 2013

Recognition and Characterization of Chronological Interval Digraphs.
Electron. J. Comb., 2013

2012
Segment representation of a subclass of co-planar graphs.
Discret. Math., 2012

The Maximum Clique Problem in Multiple Interval Graphs (Extended Abstract).
Proceedings of the Graph-Theoretic Concepts in Computer Science, 2012

2011
Chordal Bipartite Graphs with High Boxicity.
Graphs Comb., 2011

Boxicity of Leaf Powers.
Graphs Comb., 2011

Contact representations of planar graphs with cubes.
Proceedings of the 27th ACM Symposium on Computational Geometry, 2011

2010
Non-contractible non-edges in 2-connected graphs.
Inf. Process. Lett., 2010

Geometric Representation of Graphs in Low Dimension Using Axis Parallel Boxes.
Algorithmica, 2010

2009
Boxicity of Halin graphs.
Discret. Math., 2009

On the Cubicity of AT-Free Graphs and Circular-Arc Graphs.
Proceedings of the Graph Theory, 2009

2008
Boxicity and maximum degree.
J. Comb. Theory B, 2008

Finding a Box Representation for a Graph in O(n<sup>2</sup>Δ<sup>2</sup>lnn) Time.
Proceedings of the 2008 International Conference on Information Technology, 2008

2007
On the Cubicity of Interval Graphs.
Electron. Notes Discret. Math., 2007

2006
Representing graphs as the intersection of axis-parallel cubes
CoRR, 2006

Geometric representation of graphs in low dimension
CoRR, 2006


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