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Paul Dorbec

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Où tamis les billes ? Une activité de raisonnement en cycle 3

Vincent Gérard , Marie-Line Chabanol , Paul Dorbec
Repères IREM, 2020
Journal articles hal-02479905v1
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Power domination in maximal planar graphs

Paul Dorbec , Antonio González , Claire Pennarun
Discrete Mathematics and Theoretical Computer Science, 2019, vol. 21 no. 4, ⟨10.23638/DMTCS-21-4-18⟩
Journal articles hal-01550353v3

Cutting lemma and union lemma for the domination game

Paul Dorbec , Michael Antony Henning , Sandi Klavžar , Gašper Košmrlj
Discrete Mathematics, 2019, 342 (4), pp.1213-1222. ⟨10.1016/j.disc.2019.01.007⟩
Journal articles hal-01994408v1
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Ice sliding games

Paul Dorbec , Eric Duchêne , André Fabbri , Julien Moncel , Aline Parreau et al.
International Journal of Game Theory, 2018, 47 (2), pp.487-508. ⟨10.1007/s00182-017-0607-5⟩
Journal articles hal-01170310v1
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Rook-drawings of Plane Graphs

David Auber , Nicolas Bonichon , Paul Dorbec , Claire Pennarun
Journal of Graph Algorithms and Applications, 2017, 21 (1), pp.103-120
Journal articles hal-01431637v1
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On the number of planar Eulerian orientations

Nicolas Bonichon , Mireille Bousquet-Mélou , Paul Dorbec , Claire Pennarun
European Journal of Combinatorics, 2017, 65, pp.59-91
Journal articles hal-01389264v2
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Heredity for generalized power domination

Paul Dorbec , Seethu Varghese , Ambat Vijayakumar
Discrete Mathematics and Theoretical Computer Science, 2016, Vol. 18 no. 3, ⟨10.46298/dmtcs.1290⟩
Journal articles hal-01207482v3

Dicots, and a taxonomic ranking for misère games

Paul Dorbec , Gabriel Renault , A. N. Siegel , Eric Sopena
Journal of Combinatorial Theory, Series A, 2015, 130, pp.42-63. ⟨10.1016/j.jcta.2014.10.006⟩
Journal articles hal-02264656v1

Independent Domination in Cubic Graphs

Paul Dorbec , Michael A. Henning , Mickaël Montassier , Justin Southey
Journal of Graph Theory, 2015, 80 (4), pp.329-349. ⟨10.1002/jgt.21855⟩
Journal articles lirmm-01263782v1

Paired versus double domination in K 1,r -free graphs

Paul Dorbec , Bert L. Hartnell, , Michael Antony Henning
Journal of Combinatorial Optimization, 2014, 27 (4), pp.688-694. ⟨10.1007/s10878-012-9547-y⟩
Journal articles hal-00760997v1

Limits of near-coloring of sparse graphs

Paul Dorbec , Tomas Kaiser , Mickael Montassier , André Raspaud
Journal of Graph Theory, 2014, 75 (2), pp.191-202. ⟨10.1002/jgt.21731⟩
Journal articles hal-00911263v1

Generalized power domination: propagation radius and Sierpinski Graphs

Paul Dorbec , Sandi Klavzar
Acta Applicandae Mathematicae, 2014, pp.DOI 10.1007/s10440-014-9870-7. ⟨10.1007/s10440-014-9870-7⟩
Journal articles hal-00975971v1

Vertex Partitions of Graphs into Cographs and Stars

Paul Dorbec , Mickael Montassier , Pascal Ochem
Journal of Graph Theory, 2013, 75, pp.75-90. ⟨10.1002/jgt.21724⟩
Journal articles hal-00911272v1
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Generalized power domination in regular graphs

Paul Dorbec , Michael Antony Henning , Christian Löwenstein , Mickael Montassier , André Raspaud et al.
SIAM Journal on Discrete Mathematics, 2013, 27 (3), pp.1559-1574. ⟨10.1137/120891356⟩
Journal articles hal-00903699v1

Generalized power domination of graphs

Gerard Jennhwa Chang , Paul Dorbec , Mickael Montassier , André Raspaud
Discrete Applied Mathematics, 2012, 160 (12), pp.1691-1698. ⟨10.1016/j.dam.2012.03.007⟩
Journal articles hal-00591512v1
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Upper k-tuple domination in graphs

Gerard Jennhwa Chang , Paul Dorbec , Hye Kyung Kim , André Raspaud , Haichao Wang et al.
Discrete Mathematics and Theoretical Computer Science, 2012, Vol. 14 no. 2 (2), pp.285-292. ⟨10.46298/dmtcs.593⟩
Journal articles hal-00903694v1

Vizing's Conjecture: A survey and recent results

Boštjan Brešar , Paul Dorbec , Wayne Goddard , Bert L. Hartnell, , Michael Antony Henning et al.
Journal of Graph Theory, 2012, 69 (1), pp.46-76. ⟨10.1002/jgt.20565⟩
Journal articles hal-00647833v1

Upper paired domination in claw-free graphs

Paul Dorbec , Michael Antony Henning
Journal of Combinatorial Optimization, 2011, 22 (2), pp.235-251
Journal articles hal-00647819v1

Paired-domination in subdivided star-free graphs

Paul Dorbec , Sylvain Gravier
Graphs and Combinatorics, 2010, 26 (1), pp.43-49
Journal articles hal-00522607v1
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On planarity of direct product of multipartite complete graphs

Laurent Beaudou , Paul Dorbec , Pranava K. Jha , Sylvain Gravier
Discrete Mathematics, Algorithms and Applications, 2009, 1 (1), pp.85-104. ⟨10.1142/S179383090900004X⟩
Journal articles hal-00387303v1

Weighted codes in Lee metric

Paul Dorbec , Sylvain Gravier , Iiro Honkala , Michel Mollard
Designs, Codes and Cryptography, 2009, 52 (2), pp.209-218
Journal articles hal-00414508v1

Power domination in product graphs

Paul Dorbec , Sandi Klavzar , Michel Mollard , Simon Spacapan
SIAM Journal on Discrete Mathematics, 2008, 22 (2), pp.554-567
Journal articles hal-00414504v1

Paired-Domination in P5-Free Graphs

Sylvain Gravier , Paul Dorbec
Graphs and Combinatorics, 2008, 24, pp.1-6
Journal articles hal-00292715v1

Solitaire Clobber Game on Hamming graphs.

Sylvain Gravier , Paul Dorbec , Eric Duchêne
Integers : Electronic Journal of Combinatorial Number Theory, 2008, 8 (GO3), 21 p
Journal articles hal-00290412v1

On the upper total domination number of Cartesian products of graphs

Paul Dorbec , Michael Antony Henning , Douglas Rall
Journal of Combinatorial Optimization, 2008, 16 (1), pp.68-80
Journal articles hal-00412868v1

Langton's flies

Paul Dorbec , Anahi Gajardo
Journal of Physics A: Mathematical and Theoretical, 2008, 41 (40), pp.405101
Journal articles hal-00414506v1

Monochromatic Hamiltonian t-tight Berge-cycles in hypergraphs

Sylvain Gravier , Paul Dorbec , Gabor Sarközy
Journal of Graph Theory, 2008, 59, pp.34-44
Journal articles hal-00290420v1

Upper total domination versus upper paired-domination

Paul Dorbec , Michael Antony Henning , John Mccoy
Quaestiones Mathematicae, 2007, 30 (1), pp.1-12
Journal articles hal-00412854v1

Hamming polynomials and their partial derivatives

Bostjan Bresar , Paul Dorbec , Sandi Klavzar , Michel Mollard
European Journal of Combinatorics, 2007, 28 (4), pp.1156-1162
Journal articles hal-00414499v1

Paired-domination in generalized claw-free graphs.

Sylvain Gravier , Paul Dorbec , Michael A. Henning
J. on Discrete Optimization, 2007, 14 (1), pp.1-7
Journal articles hal-00290407v1

On open packings and total coverings of two dimensional grid graphs

Paul Dorbec , Sylvain Gravier
Geombinatorics, 2006, 15 (4), pp.161-165
Journal articles hal-00412848v1

Perfect codes in Cartesian products of 2-paths and infinite paths

Paul Dorbec , Michel Mollard
The Electronic Journal of Combinatorics, 2006, 12, pp.#65
Journal articles hal-00412652v1

Some results on total domination in direct products of graphs

Paul Dorbec , Sylvain Gravier , Sandi Klavzar , Simon Spacapan
Discussiones Mathematicae Graph Theory, 2006, 26 (1), pp.103-112
Journal articles hal-00412847v1

Searching Posets: from dichotomy to the golden ratio

Paul Dorbec
Maribor Graph Theory Conference, Faculty of Natural Sciences and Mathematics, University of Maribor, Sep 2022, Maribor, Slovenia
Conference papers hal-03795072v1

Marking game and graph operators

Paul Dorbec , Gabriella Paris , Elzbieta Sidorowicz , Eric Sopena
10th International Colloquium on Graph Theory and combinatorics, ICGT'18, 2018, Lyon, France
Conference papers hal-02264674v1
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Toward Quantum Combinatorial Games

Paul Dorbec , Mehdi Mhalla
Quantum Physics and Logic, Jul 2017, Nijmegen, Netherlands. pp.237 - 248, ⟨10.4204/EPTCS.266.16⟩
Conference papers hal-01429072v2

Graph minor operations for the marking game

Paul Dorbec , Gabriella Paris , Eric Sopena
Bordeaux Graph Workshop BGW'2016, 2016, Bordeaux, France
Conference papers hal-02264753v1
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Rook-drawing for plane graphs

David Auber , Nicolas Bonichon , Paul Dorbec , Claire Pennarun
23rd International Symposium on Graph Drawing and Network Visualization, Sep 2015, Los Angeles, United States
Conference papers hal-01207960v1

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

Steven Chaplick , Paul Dorbec , Jan Kratochvil , Mickaël Montassier , Juraj Stacho et al.
WG: Workshop on Graph-Theoretic Concepts in Computer Science, Jun 2014, Nouan-le-fuzelier, France. pp.139-151, ⟨10.1007/978-3-319-12340-0_12⟩
Conference papers lirmm-01264271v1

Dicots, and a taxonomic ranking for misère games

Paul Dorbec , Gabriel Renault , Eric Sopena
European Conference on Combinatorics, Graph Theory and Applications - Eurocomb 2013, Sep 2013, Pisa, Italy. pp.1-5
Conference papers hal-00829118v1

Generalized power domination

Gerard Jennhwa Chang , Paul Dorbec , Mickaël Montassier , André Raspaud
8FCC, 2010, Orsay, France
Conference papers lirmm-01264351v1
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Power domination in graphs

Paul Dorbec
Topics in Domination in Graphs, 2020, 978-3-030-51117-3. ⟨10.1007/978-3-030-51117-3_16⟩
Book sections hal-03073783v1
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Empilements et recouvrements en théorie des graphes

Paul Dorbec
Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2007. Français. ⟨NNT : ⟩
Theses tel-00181722v1
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Graphs, games and propagation

Paul Dorbec
Discrete Mathematics [cs.DM]. Université Sciences et Technologies - Bordeaux I, 2013
Habilitation à diriger des recherches tel-00975898v1