منابع مشابه
VPG and EPG bend-numbers of Halin Graphs
A piecewise linear simple curve in the plane made up of k+1 line segments, each of which is either horizontal or vertical, with consecutive segments being of different orientation is called a k-bend path. Given a graph G, a collection of k-bend paths in which each path corresponds to a vertex in G and two paths have a common point if and only if the vertices corresponding to them are adjacent i...
متن کاملCompetition Numbers of a Kind of Pseudo-Halin Graphs
For any graph G , G together with sufficiently many isolated vertices is the competition graph of some acyclic digraph. The competition number ( ) k G of a graph G is defined to be the smallest number of such isolated vertices. In general, it is hard to compute the competition number ( ) k G for a graph G and characterizing a graph by its competition number has been one of important research pr...
متن کاملApproximation Algorithms for Independence and Domination on B1-VPG and B1-EPG Graphs
A graph G is called Bk-VPG (resp., Bk-EPG), for some constant k ≥ 0, if it has a string representation on a grid such that each vertex is an orthogonal path with at most k bends and two vertices are adjacent in G if and only if the corresponding strings intersect (resp., the corresponding strings share at least one grid edge). If two adjacent strings of a Bk-VPG graph intersect exactly once, th...
متن کاملBoxicity of Halin graphs
A k-dimensional box is the Cartesian product R1 × R2 × · · · ×Rk where each Ri is a closed interval on the real line. The boxicity of a graph G, denoted as box(G) is the minimum integer k such that G is the intersection graph of a collection of k-dimensional boxes. Halin graphs are the graphs formed by taking a tree with no degree 2 vertex and then connecting its leaves to form a cycle in such ...
متن کاملOuterplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs
An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one straight-line segment. We derive exact results for the minimal number of crossings in any outerplanar drawings of the following classes of graphs: 3-row meshes, Halin graphs and complete p−partite graphs with equal size...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2016
ISSN: 0166-218X
DOI: 10.1016/j.dam.2016.07.007