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Vertex Intersection Graphs of Paths on a Grid: Characterization Within Block Graphs
(Springer Tokyo, 2017-07)
We investigate graphs that can be represented as vertex intersections of horizontal and vertical paths in a grid, the so called B0-VPG graphs. Recognizing this class is an NP-complete problem. Although, there exists a ...
On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
(Sociedade Brasileira de Matemática, 2021-10)
In this paper, we study the class of PVPG graphs, this is a subclass of VPG graphs such that all the representing paths are between two parallel lines of the grid and have their endpoints on these lines. We prove that PVPG ...
Recognizing vertex intersection graphs of paths on bounded degree trees
(Elsevier, 2014-02)
An (h, s, t)-representation of a graph G consists of a collection of subtrees of a tree T , where each subtree corresponds to a vertex of G such that (i) the maximum degree of T is at most h, (ii) every subtree has maximum ...
p-BOX: A new graph model
(2015)
In this document, we study the scope of the following graph model: each vertex is assigned to a box in Rd and to a
representative element that belongs to that box. Two vertices are connected by an edge if and only if its ...
On the bend number of circular-arc graphs as edge intersection graphs of paths on a grid
(Elsevier B.V., 2018)
Golumbic, Lipshteyn and Stern [12] proved that every graph can be represented as the edge
intersection graph of paths on a grid (EPG graph), i.e., one can associate with each vertex
of the graph a nontrivial path on a ...
Valid Inequalities For A Single Constrained 0-1 Mip Set Intersected With A Conflict Graph
(Elsevier Science BVAmsterdam, 2016)
Optimal grid representations
(Wiley Subscription Services, Inc., A Wiley CompanyEstados UnidosInstituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de EngenhariaInstituto Tércio Pacitti de Aplicações e Pesquisas Computacionais, 2017)