Extremal K_(s,t)-free bipartite graphs

Camino Balbuena (1) , P. García-Vázquez (2) , Xavier Marcote (1) , J. C. Valenzuela (3)

1 Departamento de Matemática Aplicada III [Barcelona]
2 IMUS - Departamento de Matemática Aplicada I
3 Departamento de Matemàticas

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.

Domaines: Mathématique discrète [cs.DM]

Camino Balbuena, P. García-Vázquez, Xavier Marcote, J. C. Valenzuela. Extremal K_(s,t)-free bipartite graphs. Discrete Mathematics and Theoretical Computer Science, 2008, Vol. 10 no. 3 (3), pp.35--48. ⟨10.46298/dmtcs.435⟩. ⟨hal-00972335⟩