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Circular‐Arc Bigraphs and Its Subclasses
Author(s) -
Basu Asim,
Das Sandip,
Ghosh Shamik,
Sen Malay
Publication year - 2013
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.21681
Subject(s) - arc (geometry) , mathematics , combinatorics , class (philosophy) , discrete mathematics , computer science , geometry , artificial intelligence
In this article, we obtain two new characterizations of circular‐arc bigraphs. One of them is the representation of a circular‐arc bigraph in terms of two two‐clique circular‐arc graphs while another one represents the same as a union of an interval bigraph and a Ferrers bigraph. Finally, we introduce the notions of proper and unit circular‐arc bigraphs, characterize them and show that, as in the case of circular‐arc graphs, unit circular‐arc bigraphs form a proper subclass of the class of proper circular‐arc bigraphs.