The critical group of $K_m\vee P_n$ and $P_m\vee P_n$

Details The critical group of $K_m\vee P_n$ and $P_m\vee P_n$ The critical group of $K_m\vee P_n$ and $P_m\vee P_n$

2010-08-16

arxiv.org/abs/1008.2610v1

Mathematics

Combinatorics

Scientific paper

Let $G_1\sq G_2$ denote the graph obtained from $G_1+G_2$ by adding new edges
from each vertex of $G_1$ to every vertex of $G_2$. In this paper, the critical
groups of the graphs $K_m\sq P_n$$(n\geq4)$ and $P_m\sq P_n$$(m\geq4,n\geq5)$
are determined.

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