New transmission irregular chemical graphs
Combinatorics
2022-11-10 v1
Abstract
The transmission of a vertex of a (chemical) graph is the sum of distances from to other vertices in . If any two vertices of have different transmissions, then is a transmission irregular graph. It is shown that for any odd number there exists a transmission irregular chemical tree of order . A construction is provided which generates new transmission irregular (chemical) trees. Two additional families of chemical graphs are characterized by property of transmission irregularity and two sufficient condition provided which guarantee that the transmission irregularity is preserved upon adding a new edge.
Keywords
Cite
@article{arxiv.2211.04836,
title = {New transmission irregular chemical graphs},
author = {Kexiang Xu and Jing Tian and Sandi Klavžar},
journal= {arXiv preprint arXiv:2211.04836},
year = {2022}
}