Title
On probe co-bipartite and probe diamond-free graphs.
Abstract
Given a class G of graphs, G graphs are defined as follows. A G is probe G if thereexists a partition of its vertices into a set of probevertices and a stable set of nonprobe vertices in such away that non-edges of G , whose endpoints are nonprobevertices, can be added so that the resulting graph belongs to G . We investigate probe 2-clique graphs andprobe diamond-free graphs. For probe 2-clique graphs, we present apolynomial-time recognition algorithm. Probe diamond-free graphs arecharacterized by minimal forbidden induced subgraphs. As a by-product,it is proved that the class of probe block graphs is the intersectionbetween the classes of chordal graphs and probe diamond-free graphs.
Year
Venue
Field
2015
Discrete Mathematics & Theoretical Computer Science
Discrete mathematics,Indifference graph,Combinatorics,Chordal graph,Clique-sum,Cograph,Pathwidth,Metric dimension,Mathematics,Trapezoid graph,Split graph
DocType
Volume
Issue
Journal
17
1
Citations 
PageRank 
References 
0
0.34
0
Authors
6