Fundamental Research Funds for the Central Universities (No.K50511700008);Natural Science Foundation of Education Department of Shaanxi Province (No.11JK1051, No.2013JK1098, No.2013JK1130, No.2013JK1182)
LI Li-feng, LIU San-yang, LUO Qing-jun. Representing Chordal Bipartite Graph Using Concept Lattice Theory[J]. Acta Electronica Sinica, 2013, 41(7): 1384-1388.
DOI:
LI Li-feng, LIU San-yang, LUO Qing-jun. Representing Chordal Bipartite Graph Using Concept Lattice Theory[J]. Acta Electronica Sinica, 2013, 41(7): 1384-1388. DOI: 10.3969/j.issn.0372-2112.2013.07.022.
Representing Chordal Bipartite Graph Using Concept Lattice Theory
the relation between bisimplicial edges in a bipartite graph and their corresponding concepts are discussed
and some properties of reduced contexts and chordal bipartite graphs are investigated.Then
we apply the element elimination for a concept lattice to bipartite graph theory
and obtain a representation of chordal bipartite graphs.More precisely
we show that a bipartite graph is chordal bipartite graph if and only if there is a join and meet irreducible element elimination ordering with respect to its corresponding concept lattice.