Add to ORKGAbstract: The following theorem is proved: for all k-connected graphs G and H each with at least n vertices, the treewidth of the cartesian product of G and H is at least k(n − 2k + 2) − 1. For n k, this lower bound is asymptotically tight for particular graphsG andH. This theorem generalizes a well-known result about the treewidth of planar grid graphs. C © 2012 Wile
In [3], Bodlaender and Engelfriet proved that for every k, and d, there exists a constant c k;d , s...
[[abstract]]A Cartesian product network is obtained by applying the cross operation on two graphs. I...
The treewidth of the graph is to extend G to be a chordal supergraph H(G ⊆ H) such that the cardinal...
In this paper, we first give a brief survey on the power domination of the Cartesian product of grap...
AbstractIn this paper, we first give a brief survey on the power domination of the Cartesian product...
International audienceThe length of a tree-decomposition of a graph is the maximum distance (in the ...
The length of a tree-decomposition of a graph is the maximum distance between two vertices of a same...
Treewidth is a graph parameter of fundamental importance to algorithmic and structural graph theory....
AbstractRobertson and Seymour proved that every graph with sufficiently large treewidth contains a l...
AbstractWe prove that, for every n-vertex graph G, the treewidth of G plus the treewidth of the comp...
We prove that the (divisorial) gonality of a finite connected graph is lower bounded by its treewidt...
Abstract. It is known that the treewidth of a planar graph with a dominating set of size d is O( √ d...
The study of domination in Cartesian products has received its main motivation from attempts to sett...
In this paper, we develop a new technique to study the treewidth of graphs with bounded degree. We s...
Twin-width is a graph width parameter recently introduced by Bonnet, Kim, Thomass\'{e} & Watriga...
In [3], Bodlaender and Engelfriet proved that for every k, and d, there exists a constant c k;d , s...
[[abstract]]A Cartesian product network is obtained by applying the cross operation on two graphs. I...
The treewidth of the graph is to extend G to be a chordal supergraph H(G ⊆ H) such that the cardinal...
In this paper, we first give a brief survey on the power domination of the Cartesian product of grap...
AbstractIn this paper, we first give a brief survey on the power domination of the Cartesian product...
International audienceThe length of a tree-decomposition of a graph is the maximum distance (in the ...
The length of a tree-decomposition of a graph is the maximum distance between two vertices of a same...
Treewidth is a graph parameter of fundamental importance to algorithmic and structural graph theory....
AbstractRobertson and Seymour proved that every graph with sufficiently large treewidth contains a l...
AbstractWe prove that, for every n-vertex graph G, the treewidth of G plus the treewidth of the comp...
We prove that the (divisorial) gonality of a finite connected graph is lower bounded by its treewidt...
Abstract. It is known that the treewidth of a planar graph with a dominating set of size d is O( √ d...
The study of domination in Cartesian products has received its main motivation from attempts to sett...
In this paper, we develop a new technique to study the treewidth of graphs with bounded degree. We s...
Twin-width is a graph width parameter recently introduced by Bonnet, Kim, Thomass\'{e} & Watriga...
In [3], Bodlaender and Engelfriet proved that for every k, and d, there exists a constant c k;d , s...
[[abstract]]A Cartesian product network is obtained by applying the cross operation on two graphs. I...
The treewidth of the graph is to extend G to be a chordal supergraph H(G ⊆ H) such that the cardinal...