TY - JOUR
A2 - Saleh Alwardi, Anwar
AU - Nekooei, O.
AU - Barzegar, H.
AU - Ashrafi, A. R.
PY - 2022
DA - 2022/11/25
TI - Permanents of Hexagonal and Armchair Chains
SP - 7786922
VL - 2022
AB - The permanent is important invariants of a graph with some applications in physics. If G is a graph with adjacency matrix A=aij, then the permanent of A is defined as permA=∑σ∈Sn∏i=1naiσi, where Sn denotes the symmetric group on n symbols. In this paper, the general form of the adjacency matrices of hexagonal and armchair chains will be computed. As a consequence of our work, it is proved that if Gk and Hk denote the hexagonal and armchair chains, respectively, then permAG1=4, permAGk=k+12, k≥2, and permAHk=4k with k≥1. One question about the permanent of a hexagonal zig-zag chain is also presented.
SN - 0161-1712
UR - https://doi.org/10.1155/2022/7786922
DO - 10.1155/2022/7786922
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi
KW -
ER -