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One of the intriguing open problems on competition graphs is determining what digraphs have interval competition graphs. In this paper we consider this problem for the class of loopless symmetric digraphs. Here we first consider forbidden subgraph characterizations of graphs with interval two- step graphs. We then characterize a large class of graphs with interval two-step graphs, using the Fulkerson-Gross characterization of interval graphs. Interval graphs, Competition graphs, Step graphs.
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A characterization of graphs with interval two-step graphs
1993, Naval Postgraduate School, Available from National Technical Information Service
in English
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Edition Notes
Cover title.
"NPS-MA-93-021."
"Technical report for period April 1993 - July 1993."
AD A275 652.
Includes bibliographical references (p. 16)
aq/ /aq cc:9116 09/12/97
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