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Dive into the research topics where Paul Dorbec is active.

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Featured researches published by Paul Dorbec.


Journal of Combinatorial Optimization | 2007

Paired-domination in generalized claw-free graphs

Paul Dorbec; Sylvain Gravier; Michael A. Henning

In this paper, we continue the study of paired-domination in graphs introduced by Haynes and Slater (Networks 32 (1998) 199–206). A set S of vertices in a graph G is a paired-dominating set of G if every vertex of G is adjacent to some vertex in S and if the subgraph induced by S contains a perfect matching. The paired-domination number of G, denoted by


Discussiones Mathematicae Graph Theory | 2006

Some results on total domination in direct products of graphs

Paul Dorbec; Sylvain Gravier; Sandi Klavžar; Simon Špacapan


Journal of Combinatorial Optimization | 2008

On the upper total domination number of Cartesian products of graphs

Paul Dorbec; Michael A. Henning; Douglas F. Rall

\gamma_{\rm pr}(G)


Quaestiones Mathematicae | 2007

UPPER TOTAL DOMINATION VERSUS UPPER PAIRED-DOMINATION

Paul Dorbec; Michael A. Henning; John McCoy


Discrete Applied Mathematics | 2012

Generalized power domination of graphs

Gerard J. Chang; Paul Dorbec; Mickaël Montassier; André Raspaud

, is the minimum cardinality of a paired-dominating set of G. If G does not contain a graph F as an induced subgraph, then G is said to be F-free. Haynes and Slater (Networks 32 (1998) 199–206) showed that if G is a connected graph of order


Discrete Applied Mathematics | 2014

Rainbow connection in oriented graphs

Paul Dorbec; Ingo Schiermeyer; Elżbieta Sidorowicz; Éric Sopena


SIAM Journal on Discrete Mathematics | 2013

Generalized Power Domination in Regular Graphs

Paul Dorbec; Michael A. Henning; Christian Löwenstein; Mickaël Montassier; André Raspaud

n \ge 3


Graphs and Combinatorics | 2008

Paired-Domination in P 5 -Free Graphs

Paul Dorbec; Sylvain Gravier


workshop on graph theoretic concepts in computer science | 2014

Contact Representations of Planar Graphs: Extending a Partial Representation is Hard

Steven Chaplick; Paul Dorbec; Jan Kratochvíl; Mickaël Montassier; Juraj Stacho

, then


Theoretical Computer Science | 2016

Complexity of the game domination problem

Boštjan Brešar; Paul Dorbec; Sandi Klavžar; Gašper Košmrlj; Gabriel Renault

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Sylvain Gravier

Joseph Fourier University

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Gerard J. Chang

National Taiwan University

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