QP-2015-04

A note on V-free 2-matchings

Kristóf Bérczi, Attila Bernáth, Máté Vizer



Abstract

Motivated by a conjecture of Liang ~\cite{Liang13}, we introduce a restricted path packing problem in bipartite graphs that we call a $\mathtt{V}$-free $2$-matching. We verify the conjecture through a weakening of the hypergraph matching problem. We close the paper by showing that it is NP-complete to decide whether one of the color classes of a bipartite graph can be covered by a $\mathtt{V}$-free $2$-matching.


Bibtex entry:

@techreport{egresqp-15-04,
AUTHOR = {B{\'e}rczi, Krist{\'o}f and Bern{\'a}th, Attila and Vizer, M{\'a}t{\'e}},
TITLE = {A note on V-free 2-matchings},
NOTE= {{\tt www.cs.elte.hu/egres}},
INSTITUTION = {Egerv{\'a}ry Research Group, Budapest},
YEAR = {2015},
NUMBER = {QP-2015-04}
}


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