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20082026
most citedBurning a Graph is Hard

6 citations · 24 across the 32 of their papers we have counts for

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Showing 2015Show all

6 papers · 1 filter

math.CO2015★ 6 cited

Burning a Graph is Hard

Anthony Bonato, Jeannette Janssen, Elham Roshanbin

Graph burning is a model for the spread of social contagion. The burning number is a graph parameter associated with graph burning that measures the speed of the spread of contagio…

math.CO2015

Exponential Domination in Subcubic Graphs

Stéphane Bessy, Pascal Ochem, Dieter Rautenbach

As a natural variant of domination in graphs, Dankelmann et al. [Domination with exponential decay, Discrete Math. 309 (2009) 5877-5883] introduce exponential domination, where ver…

math.CO2015

Bounds on the Burning Number

Stéphane Bessy, Anthony Bonato, Jeannette Janssen +1

Motivated by a graph theoretic process intended to measure the speed of the spread of contagion in a graph, Bonato, Janssen, and Roshanbin [Burning a Graph as a Model of Social Con…

math.CO2015★ 2 cited

Bounds on the Exponential Domination Number

Stephane Bessy, Pascal Ochem, Dieter Rautenbach

As a natural variant of domination in graphs, Dankelmann et al. [Domination with exponential decay, Discrete Math. 309 (2009) 5877-5883] introduce exponential domination, where ver…

cs.DS2015★ 4 cited

On independent set on B1-EPG graphs

Marin Bougeret, Stephane Bessy, Daniel Gonçalves +1

In this paper we consider the Maximum Independent Set problem (MIS) on -EPG graphs. EPG (for Edge intersection graphs of Paths on a Grid) was introduced in ~\cite{edgeintersin…

math.CO2015

Colorful paths for 3-chromatic graphs

Bessy Stéphane, Bousquet Nicolas

In this paper, we prove that every 3-chromatic connected graph, except , admits a 3-vertex coloring in which every vertex is the beginning of a 3-chromatic path. It is a speci…