Camino Balbuena (1), P. García-Vázquez (2) (3), Xavier Marcote (1), J. C. Valenzuela (4)
(1) Departamento de Matemática Aplicada III [Barcelona]
(2) Departamento de Matemática Aplicada I
(3) Departamento de Matemática Aplicada I [Universidad de Sevilla]
(4) Departamento de Matemàticas
Abstract
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.
