computing vertex pi, omega and sadhana polynomials of f12(2n+1) fullerenes
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abstract
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 vertex pi, omega and sadhana polynomials of this classof fullerenes are computed for the first time.
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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. ...
full textComputing 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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full textcomputing vertex pi index of tetrathiafulvalene dendrimers
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full textThe Vertex PI, Szeged and Omega Polynomials of Carbon Nanocones CNC4[n]
A topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. A new counting polynomial, called the "Omega" W(G, x) polynomial, was recently proposed by Diudea on the ground of quasi-orthogonal cut "qoc" edge strips in a polycyclic graph. In this paper, the vertex PI, Szeged and omega polynomials of carbon nanocones CNC4[n] are computed.
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Journal title:
iranian journal of mathematical chemistryPublisher: university of kashan
ISSN 2228-6489
volume 1
issue Issue 1 (Special Issue on the Role of PI Index in Nanotechnology) 2010
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