Compression with wildcards: Enumerating specific induced subgraphs, and packing them as well

Fuente: arXiv
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Autor principal: Wild, Marcel
Formato: Preprint
Publicado: 2024
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author Wild, Marcel
author_facet Wild, Marcel
contents Various algorithms have been proposed to enumerate all connected induced subgraphs of a graph $G=(V,E)$. As a variation we enumerate all "packings of connected sets", i.e. partitions $Π$ of $V$ with the property that each part of $Π$ induces a connected subgraph. More generally, for various types $T$ of graphs we do (one or both of) the following: (i) enumerate all type $T$ (induced) subgraphs of a given graph $G$, or (ii) enumerate all packings of type $T$ subgraphs of $G$
format Preprint
id arxiv_https___arxiv_org_abs_2412_01540
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Compression with wildcards: Enumerating specific induced subgraphs, and packing them as well
Wild, Marcel
Combinatorics
Discrete Mathematics
Various algorithms have been proposed to enumerate all connected induced subgraphs of a graph $G=(V,E)$. As a variation we enumerate all "packings of connected sets", i.e. partitions $Π$ of $V$ with the property that each part of $Π$ induces a connected subgraph. More generally, for various types $T$ of graphs we do (one or both of) the following: (i) enumerate all type $T$ (induced) subgraphs of a given graph $G$, or (ii) enumerate all packings of type $T$ subgraphs of $G$
title Compression with wildcards: Enumerating specific induced subgraphs, and packing them as well
topic Combinatorics
Discrete Mathematics
url https://arxiv.org/abs/2412.01540