Extremal K-(s,K-t)-free bipartite graphs

In this paper new exact values of the Zarankiewicz function z(m, n; s, t) are obtained assuming certain requirements on the parameters. Moreover, all the corresponding extremal graphs are characterized. Finally, an extension of this problem to 3-partite graphs is studied.

Detalles Bibliográficos
Autores: Balbuena, Camino, García Vázquez, Pedro, Marcote Ordax, Xavier, Valenzuela Tripodoro, Juan Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/154762
Acceso en línea:https://hdl.handle.net/11441/154762
https://doi.org/10.46298/dmtcs.435
Access Level:acceso abierto
Palabra clave:Zarankiewicz problem
Extremal graph theory
Forbidden subgraphs
Descripción
Sumario:In this paper new exact values of the Zarankiewicz function z(m, n; s, t) are obtained assuming certain requirements on the parameters. Moreover, all the corresponding extremal graphs are characterized. Finally, an extension of this problem to 3-partite graphs is studied.