A biclique is a maximal bipartite complete induced subgraph of G. Bicliques have been studied in the last years motivated by the large number of applications. In particular, enumeration of the maximal bicliques has been of interest in data analysis. Associated with this issue, upper and lower bounds on the maximun number of bicliques were given. In this paper we study lower bounds on the number of bicliques of a graph. Since adding false-twin vertices to G does not change the number of bicliques, we restrict to false-twin-free graphs. We give a tight lower bound on the minimum number bicliques in {C4,diamond,false-twin}-free graphs, (K3,false-twin)-free graphs and we present some conjectures for general false-twin-free graphs. © 2015 Elsevier B.V.
Documento: | Artículo |
Título: | Tight lower bounds on the number of bicliques in false-twin-free graphs |
Autor: | Groshaus, M.; Montero, L. |
Filiación: | Departamento de Computación, Universidad de Buenos Aires, Buenos Aires, Argentina Laboratoire de Recherche en Informatique, Université Paris-Sud, Orsay CEDEX, France |
Palabras clave: | Bicliques; False-twin-free graphs; Lower bounds |
Año: | 2015 |
Volumen: | 50 |
Página de inicio: | 293 |
Página de fin: | 298 |
DOI: | http://dx.doi.org/10.1016/j.endm.2015.07.049 |
Título revista: | Electronic Notes in Discrete Mathematics |
Título revista abreviado: | Electron. Notes Discrete Math. |
ISSN: | 15710653 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v50_n_p293_Groshaus |