On the decomposition of $n$-partite graphs based on a vertex-removing synchronised graph product

Antoon H. Boode

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arXiv · 2206.10560

On the decomposition of $n$-partite graphs based on a vertex-removing synchronised graph product

Antoon H. Boode

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Abstract

Recently, we have introduced and modified graph-decomposition theorems based on a graph product motivated by applications in the context of synchronising periodic real-time processes. This vertex-removing synchronised product (VRSP) is based on modifications of the well-known Cartesian product and is closely related to the synchronised product due to Wöhrle and Thomas. Here, we introduce a new graph-decomposition theorem based on the VRSP that decomposes an edge-labelled acyclic n-partite multigraph where all labels are the same.

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Antoon H. Boode. 2022-06-21. On the decomposition of $n$-partite graphs based on a vertex-removing synchronised graph product. https://arxiv.org/abs/2206.10560

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