Circular‐Arc Bigraphs and Its Subclasses | Zendy

Basu Asim | Zendy; Das Sandip | Zendy; Ghosh Shamik | Zendy; Sen Malay | Zendy

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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.

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