An efficient algorithm for generating transmission irregular trees

Fuente: arXiv
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Auteurs principaux: Stošić, Ivan, Damnjanović, Ivan
Format: Preprint
Publié: 2025
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_version_ 1866917279922388992
author Stošić, Ivan
Damnjanović, Ivan
author_facet Stošić, Ivan
Damnjanović, Ivan
contents The transmission of a vertex in a connected graph is the sum of distances from that vertex to all the other vertices. A connected graph is transmission irregular if any two distinct vertices have different transmissions. We present an efficient algorithm that generates all the transmission irregular trees up to a given order, up to isomorphism.
format Preprint
id arxiv_https___arxiv_org_abs_2502_15453
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An efficient algorithm for generating transmission irregular trees
Stošić, Ivan
Damnjanović, Ivan
Discrete Mathematics
Combinatorics
68R10, 68R05, 05C12, 05C05
The transmission of a vertex in a connected graph is the sum of distances from that vertex to all the other vertices. A connected graph is transmission irregular if any two distinct vertices have different transmissions. We present an efficient algorithm that generates all the transmission irregular trees up to a given order, up to isomorphism.
title An efficient algorithm for generating transmission irregular trees
topic Discrete Mathematics
Combinatorics
68R10, 68R05, 05C12, 05C05
url https://arxiv.org/abs/2502.15453