On Specific Factors in Graphs

Author:

Bujtás CsillaORCID,Jendrol’ Stanislav,Tuza ZsoltORCID

Abstract

AbstractIt is well known that if $$G = (V, E)$$ G = ( V , E ) is a connected multigraph and $$X\subset V$$ X V is a subset of even order, then G contains a spanning forest H such that each vertex from X has an odd degree in H and all the other vertices have an even degree in H. This spanning forest may have isolated vertices. If this is not allowed in H, then the situation is much more complicated. In this paper, we study this problem and generalize the concepts of even-factors and odd-factors in a unified form.

Funder

Slovenian Research Agency

Slovak Research and Development Agency

Nemzeti Kutatási Fejlesztési és Innovációs Hivatal

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

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