Title
Graphs of interval count two with a given partition
Abstract
We describe a polynomial time algorithm to decide for a given connected graph G and a given partition of its vertex set into two sets A and B, whether it is possible to assign a closed interval I(u) to each vertex u of G such that two distinct vertices u and v of G are adjacent if and only if I(u) and I(v) intersect, all intervals assigned to vertices in A have some length L"A, and all intervals assigned to vertices in B have some length L"B where L"
Year
DOI
Venue
2014
10.1016/j.ipl.2014.04.002
Information Processing Letters
Keywords
Field
DocType
combinatorial problems,interval graph,graph algorithms,unit interval graph,interval count
Discrete mathematics,Wheel graph,Combinatorics,Vertex (geometry),Bound graph,Vertex (graph theory),Cycle graph,Neighbourhood (graph theory),Independent set,Frequency partition of a graph,Mathematics
Journal
Volume
Issue
ISSN
114
10
0020-0190
Citations 
PageRank 
References 
1
0.36
8
Authors
5
Name
Order
Citations
PageRank
Felix Joos13711.20
Christian Löwenstein213116.28
Fabiano de S. Oliveira3174.97
Dieter Rautenbach4946138.87
Jayme Luiz Szwarcfiter561895.79