Title
Equivalence of the filament and overlap graphs of subtrees of limited trees.
Abstract
The overlap graphs of subtrees of a tree are equivalent to subtree filament graphs, the overlap graphs of subtrees of a star are cocomparability graphs, and the overlap graphs of subtrees of a caterpillar are interval filament graphs. In this paper, we show the equivalence of many more classes of subtree overlap and subtree filament graphs, and equate them to classes of complements of cochordal-mixed graphs. Our results generalise the previously known results mentioned above.
Year
DOI
Venue
2015
10.23638/DMTCS-19-1-20
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
Keywords
Field
DocType
graph algorithms,intersection graphs,filament graphs
Discrete mathematics,Indifference graph,Combinatorics,Lévy family of graphs,Tree (data structure),Chordal graph,Equivalence (measure theory),Pathwidth,Mathematics,A* search algorithm,Maximal independent set
Journal
Volume
Issue
ISSN
19.0
1.0
1462-7264
Citations 
PageRank 
References 
1
0.39
3
Authors
2
Name
Order
Citations
PageRank
jessica enright110.39
Lorna Stewart236128.05