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ArticleOriginal scientific text

Title

A characterization of planar median graphs

Authors 1

Affiliations

  1. Faculty of Electrical Engineering and Computer Science, University of Maribor, Smetanova ulica 17, 2000 Maribor, Slovenia

Abstract

Median graphs have many interesting properties. One of them is-in connection with triangle free graphs-the recognition complexity. In general the complexity is not very fast, but if we restrict to the planar case the recognition complexity becomes linear. Despite this fact, there is no characterization of planar median graphs in the literature. Here an additional condition is introduced for the convex expansion procedure that characterizes planar median graphs.

Keywords

ENG
median graphs, planar graphs, expansion

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Discussiones Mathematicae Graph Theory
2006/26/1
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Pages:
41-48
Main language of publication
English
Received
2004-10-07
Accepted
2005-04-21
Published
2006

DOI: 10.7151/dmgt.1299

Exact and natural sciences