Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors

We consider uniformly resolvable decompositions of $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph. We give a partial solution for the case in which all resolution classes are either $K_2$ or $K_{1,n}$ where $n$ is odd.

Publication Details

Journal
ArXiv.org
Published
2025-04-21
Primary Topic
graph theory and CDMA systems
Type
article
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article

Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors

ArXiv.org
graph theory and CDMA systems
article

Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors

article en

Abstract

We consider uniformly resolvable decompositions of $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph. We give a partial solution for the case in which all resolution classes are either $K_2$ or $K_{1,n}$ where $n$ is odd.

ArXiv.org
Openalex Percentile: Top 53%
graph theory and CDMA systems
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Uniformly resolvable decompositions of $K_v$ into $1$-factors and odd $n$-star factors · ArXiv.org (2025) | TGRS Research Map | TGRS