On cordial labeling of hypertrees

Let $f:V\rightarrow\mathbb{Z}_k$ be a vertex labeling of a hypergraph $H=(V,E)$. This labeling induces an~edge labeling of $H$ defined by $f(e)=\sum_{v\in e}f(v)$, where the sum is taken modulo $k$. We say that $f$ is $k$-cordial if for all $a, b \in \mathbb{Z}_k$ the number of vertices with label $...

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Bibliographic Details
Main Authors: Michał Tuczyński, Przemysław Wenus, Krzysztof Węsek
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2019-08-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/4081/pdf