Construction numbers: How to build a graph?

Fuente: arXiv
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1. Verfasser: Kainen, Paul C.
Format: Preprint
Veröffentlicht: 2023
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_version_ 1866917852482633728
author Kainen, Paul C.
author_facet Kainen, Paul C.
contents A construction sequence for a graph is a listing of the elements of the graph (the set of vertices and edges) such that each edge follows both its endpoints. The construction number of the graph is the number of such sequences. We determine this number for various graph families.
format Preprint
id arxiv_https___arxiv_org_abs_2302_13186
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Construction numbers: How to build a graph?
Kainen, Paul C.
Combinatorics
Artificial Intelligence
05C30, 05A05, 05A15, 06A05, 90B35
A construction sequence for a graph is a listing of the elements of the graph (the set of vertices and edges) such that each edge follows both its endpoints. The construction number of the graph is the number of such sequences. We determine this number for various graph families.
title Construction numbers: How to build a graph?
topic Combinatorics
Artificial Intelligence
05C30, 05A05, 05A15, 06A05, 90B35
url https://arxiv.org/abs/2302.13186