Biclique graphs of interval bigraphs

被引：5
|
作者：
Cruz, E. P. [1 ]
Groshaus, M. [2 ]
Guedes, A. L. P. [1 ]
Puppo, J. P. [3 ]
机构：
[1] Univ Fed Parana, Curitiba, Parana, Brazil
[2] Univ Tecnol Fed Parana, Apucarana, Brazil
[3] Univ Tecnol Nacl, Buenos Aires, DF, Argentina
来源：
DISCRETE APPLIED MATHEMATICS | 2020年 / 281卷
关键词：
Bicliques; Biclique graphs; Interval bigraphs; Bipartite permutation graphs; Co-comparability graphs; CLIQUE GRAPHS; ROOTS;
D O I：
10.1016/j.dam.2020.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The biclique graph KB(G) is the intersection graph of all the bicliques of a graph G. The aim of our work is to recognize graphs that are biclique graphs of interval bigraphs (IBG). In this paper we prove that KB(IBG). K-1,K-4-free co-comparability graphs. We also study the class of biclique graphs of proper interval bigraphs (PIB). Recall that PIB is equal to the class of bipartite permutation graphs (BPG). We present a characterization of the class KB(PIB) and of the biclique graphs of a subclass of PIB that leads to a polynomial time recognition algorithm. We also present characterizations of biclique graphs of some classes such as complete graphs, trees and graphs with girth at least 5. (c) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码：134 / 143
页数：10
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