Matchings in Tetrameric 1, 3-Adamantane

Authors : Fatemeh TAGHVAEE, Gholam Hossein FATHTABAR

Pages : 149-152

View : 26 | Download : 11

Publication Date : 2018-04-15

Article Type : Research Paper

Abstract :Suppose $G$ is a graph, $Ainsert ignore into journalissuearticles values(G);$ its adjacency matrix, and $\varphiinsert ignore into journalissuearticles values(G,\lambda);=\sum_{i=0}^{n} a_i \lambda^{n-i}$ is the characteristic polynomial of $G$. The polynomial $Minsert ignore into journalissuearticles values(G,x);=\sum_{k \geq 0}insert ignore into journalissuearticles values(-1);^{k} minsert ignore into journalissuearticles values(G,k); x^{n-2k}$, is called the matching polynomial of $G$, where $minsert ignore into journalissuearticles values(G,k);$ is the number of $k-$matchings in $G$. In this paper, we consider tetrameric 1, 3-adamantane, $TAinsert ignore into journalissuearticles values(N);$, and determine some coefficients of characteristic polynomial and matching polynomial of $TAinsert ignore into journalissuearticles values(N);$.
Keywords : Characteristic polynomial, matching polynomial, spectral moment, tetrameric 1, 3 adamantane

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