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Article overview
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Vertex intersection graphs of paths on a grid: characterization within block graphs | | L. Alcón
; F. Bonomo
; M. P. Mazzoleni
; | | Date: |
30 Oct 2015 | | Abstract: | We investigate graphs that can be represented as vertex intersections of
horizontal and vertical paths in a grid, the so called $B_0$-VPG graphs.
Recognizing this class is an NP-complete problem. Although, there exists a
polynomial time algorithm for recognizing chordal $B_0$-VPG graphs. In this
paper, we present a minimal forbidden induced subgraph characterization of
$B_0$-VPG graphs restricted to block graphs. As a byproduct, the proof of the
main theorem provides an alternative certifying recognition and representation
algorithm for $B_0$-VPG graphs in the class of block graphs. | | Source: | arXiv, 1510.9174 | | Services: | Forum | Review | PDF | Favorites | |
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