On Maximum Weight of a Bipartite Graph of Given Order and Size

• Autorzy: Mirko Horňák , Stanislav Jendrol’ , Ingo Schiermeyer
• Języki publikacji: EN

Abstrakty

EN

The weight of an edge xy of a graph is defined to be the sum of degrees of the vertices x and y. The weight of a graph G is the minimum of weights of edges of G. More than twenty years ago Erd˝os was interested in finding the maximum weight of a graph with n vertices and m edges. This paper presents a complete solution of a modification of the above problem in which a graph is required to be bipartite. It is shown that there is a function w*(n,m) such that the optimum weight is either w*(n,m) or w*(n,m) + 1.

Słowa kluczowe

EN

weight of an edge; weight of a graph; bipartite graph.

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2013
• Tom: 33
• Numer: 1
• Strony: 147-165

Daty

wydano

2013-03-01

online

2013-04-13

Twórcy

autor

Mirko Horňák

• Institute of Mathematics P.J. Šafárik University Jesenná 5, 04001 Košice, Slovakia

autor

Stanislav Jendrol’

• Institute of Mathematics P.J. Šafárik University Jesenná 5, 04001 Košice, Slovakia

autor

Ingo Schiermeyer

• Institut für Diskrete Mathematik und Algebra Technische Universität Bergakademie Freiberg 09596 Freiberg, Germany

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1674