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arXiv · 1505.03717

A note on $\mathtt{V}$-free $2$-matchings

Kristóf Bérczi·Attila Bernáth·Máté Vizer
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Abstract

Motivated by a conjecture of Liang [Y.-C. Liang. {\em Anti-magic labeling of graphs}. PhD thesis, National Sun Yat-sen University, 2013.], 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.

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Kristóf Bérczi, Attila Bernáth, Máté Vizer. 2015-05-14. A note on $\mathtt{V}$-free $2$-matchings. https://arxiv.org/abs/1505.03717

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