A characterization of graphs with interval two-step graphs

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Author
Merz, Sarah K.
Rasmussen, Craig W.
Lundgren, J. Richard
Maybee, John Stanley
Date
1993Metadata
Show full item recordAbstract
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.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.NPS Report Number
NPS-MA-93-021Related items
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A Characterization of Graphs With Interval Two-Step Graphs
Lundgren, J. Richard; Merz, Sarah K.; Maybee, John S.; Rasmussen, Craig W. (Norrth-Holland, 1995);One of the intriguing open problems on competition graphs is determining what digraphs have interval competition graphs. This problem originated in the work of Cohen on food webs. We consider it for the class of loopless ... -
Chromatic numbers of competition graphs
Lundgren, J. Richard; Merz, Sarah K.; Rasmussen, Craig W. (North-Holland, 1995);Previous work on competition graphs has emphasized characterization, not only of the competition graphs themselves but also of those graphs whose competition graphs are chordal or interval. The latter sort of characterization ... -
Chromatic numbers of competition graphs
Merz, Sarah K.; Rasmussen, Craig W.; Lundgren, J. Richard (Monterey, California. Naval Postgraduate School, 1993); NPS-MA-93-020Previous work on competition graphs has emphasized characterization, not only of the competition graphs themselves but also of those graphs whose competition graphs are chordal or interval. The latter sort of characterization ...