Omega, Sadhana, and PI Polynomials of Quasi-Hexagonal Benzenoid Chain
نویسندگان
چکیده
منابع مشابه
Computing Vertex PI, Omega and Sadhana Polynomials of F12(2n+1) Fullerenes
The topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. The vertex PI polynomial is defined as PIv (G) euv nu (e) nv (e). Then Omega polynomial (G,x) for counting qoc strips in G is defined as (G,x) = cm(G,c)xc with m(G,c) being the number of strips of length c. In this paper, a new infinite class of fullerenes is constructed. ...
متن کاملComputing Vertex PI, Omega and Sadhana Polynomials of F12(2n+1) Fullerenes
The topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. The vertex PI polynomial is defined as v u v e uv PI (G) n (e) n (e). = = + ∑ Then Omega polynomial Ω(G,x) for counting qoc strips in G is defined as Ω(G,x) = ∑cm(G,c)x with m(G,c) being the number of strips of length c. In this paper, a new infinite class of fullerenes is construc...
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A fullerene graph is a cubic 3-connected plane graph with (exactly 12) pentagonal faces and hexagonal faces. Let Fn be a fullerene graph with n vertices. By the Euler formula one can see that Fn has 12 pentagonal and n/2 – 10 hexagonal faces. Let G = (V, E) be a connected graph with the vertices set V = V(G) and the edges set E = E(G), without loops and multiple edges. The distance d(x,y) betwe...
متن کاملcomputing vertex pi, omega and sadhana polynomials of f12(2n+1) fullerenes
the topological index of a graph g is a numeric quantity related to g which is invariant underautomorphisms of g. the vertex pi polynomial is defined as piv (g) euv nu (e) nv (e).then omega polynomial (g,x) for counting qoc strips in g is defined as (g,x) =cm(g,c)xc with m(g,c) being the number of strips of length c. in this paper, a new infiniteclass of fullerenes is constructed. the ...
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Structural codes vis-a-vis structural counts, like polynomials of a molecular graph, are important in computing graph-theoretical descriptors which are commonly known as topological indices. These indices are most important for characterizing carbon nanotubes (CNTs). In this paper we have computed Sadhana index (Sd) for phenylenes and their hexagonal squeezes using structural codes (counts). Sa...
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ژورنال
عنوان ژورنال: Journal of Analytical Methods in Chemistry
سال: 2020
ISSN: 2090-8865,2090-8873
DOI: 10.1155/2020/9057815