TOPOLOGICAL CHARACTERIZATION FOR THE LINE GRAPH OF NANOSTRUCTURES
نویسندگان
چکیده
منابع مشابه
Topological Invariance under Line Graph Transformations
It is shown that the line graph transformation G L(G) of a graph G preserves an isomorphic copy of G as the nerve of a finite simplicial complex K which is naturally associated with the Krausz decomposition of L(G). As a consequence, the homology of K is isomorphic to that of G. This homology invariance algebraically confirms several well known graph theoretic properties of line graphs and fo...
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15 صفحه اولLine graphs associated to the maximal graph
Let $R$ be a commutative ring with identity. Let $G(R)$ denote the maximal graph associated to $R$, i.e., $G(R)$ is a graph with vertices as the elements of $R$, where two distinct vertices $a$ and $b$ are adjacent if and only if there is a maximal ideal of $R$ containing both. Let $Gamma(R)$ denote the restriction of $G(R)$ to non-unit elements of $R$. In this paper we study the various graphi...
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ژورنال
عنوان ژورنال: International Journal of Apllied Mathematics
سال: 2020
ISSN: 1311-1728,1314-8060
DOI: 10.12732/ijam.v32i6.11