Title
A note on $\mathtt{V}$-free $2$-matchings.
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.
Year
Venue
Field
2015
CoRR
Discrete mathematics,Graph,Combinatorics,Packing problems,Bipartite graph,Hypergraph,New digraph reconstruction conjecture,Conjecture,Mathematics
DocType
Volume
Citations 
Journal
abs/1505.03717
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Kristóf Bérczi12812.40
Attila Bernáth2207.99
Máté Vizer32714.06