FORBIDDEN PARTITION CONFIGURATION SPACES OF GRAPHS

Abstract We propose a generalised version of configuration spaces defined by disallowing combinations of simultaneous collisions among the n points determined by a family of forbidden partitions. In the case where the underlying space is a finite graph, we construct a cubical complex with the same homology as this configuration space.

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2025-02-12
DOI
https://doi.org/10.1017/s000497272400131x
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
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article

FORBIDDEN PARTITION CONFIGURATION SPACES OF GRAPHS

James Dover
Bulletin of the Australian Mathematical Society
Advanced Graph Theory Research
article

FORBIDDEN PARTITION CONFIGURATION SPACES OF GRAPHS

James Dover
article en

Abstract

Abstract We propose a generalised version of configuration spaces defined by disallowing combinations of simultaneous collisions among the n points determined by a family of forbidden partitions. In the case where the underlying space is a finite graph, we construct a cubical complex with the same homology as this configuration space.

Bulletin of the Australian Mathematical SocietyVol. 112(3)
University of North Georgia (US)
Openalex Percentile: Top 97%
Advanced Graph Theory Research
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