Tables of Non-Adjacent Numbers, Characteristic Polynomials and Topological Indices. II. Mono- and Bicyclic Graphs

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  • Tables of nonadjacent numbers , characteristic polynomials and topological indices 2 Mono-and bicyclic graphs

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紀要論文

One of the present authors has defined and discussed the nonadjacent number p(G, k) and topological index Z_G for a graph G, or the carbon skeleton of a saturated hydrocarbon molecule. The tables of the set of p(G, k)'s and Z_G for all the tree graphs with N≦10, N being the number of the points in G, are given in the preceding paper of this series. Tables I and II give the set of p(G, k)'s, characteristic polynomial P_G(X) and Z_G for those mono-and bicyclic graphs with N≦8 in which any point has at most four neighbors (Class A in Ref.2). Namely, we are concerned with the carbon atom skeletons of the lower members of mono-and bicyclic hydrocarbons. Contrary to the case of the tree graphs the coefficients of P_G(X) do not correspond to p(G, k)'s. Table III gives the list of the group of the graphs with an identical characteristic polynomial but with different structures.

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