A note on $k$-cordial $p$-uniform hypertrees

Details A note on $k$-cordial $p$-uniform hypertrees A note on $k$-cordial $p$-uniform hypertrees

2009-10-13

arxiv.org/abs/0910.2344v1

Mathematics

Combinatorics

Scientific paper

Hovey introduced a $k$-cordial labeling of graphs as a generalization both of
harmonious and cordial labelings. He proved that all tress are $k$-cordial for
$k \in \{1,...,5\}$ and he conjectured that all trees are $k$-cordial for all
$k$. \indent We consider a corresponding problem for hypergraphs, namely, we
show that $p$-uniform hypertrees are $k$-cordial for certain values of $k$.

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