The relationship between the Randic , Wiener, Hosoya , Balaban, Schultz indices, Harary numbers andDistance matrix to enthalpies of formation (Airf), heat capacity, (Cp) , enthalpies of combustion (AH °c ),enthalpy of vaporization (AH °vap) and normal boiling points (bpK)of C2 C10 normal alkanes isrepresented

In this paper, the Wiener Index ( ) ( ) { } ( ) ∑ ∈ = G V u v u v d G W , , and Hosoya polynomial ( ) ( ) { } ( ) ∑ ∈ = G V u v u v d x x G H , , , of a class of Jahangir graphs m J , 3 with exactly 1 3 + m vertices and m 4 edges are computed.

A pedestrian description of possible connection between quantum information theory and relativity theory is given. I picked up topics of synchronization by entanglement and causality of completely positive maps in special relativity, while the problems of information loss in the black hole evaporation and the possible quantum state at the space-like singularities are briefly touched upon in gen...

For a graph G we denote by dG(u, v) the distance between vertices u and v in G, by dG(u) the degree of vertex u. The Hosoya polynomial of G is H(G) = ∑ {u,v}⊆V (G) x dG (u,v). For any positive numbers m and n, the partial Hosoya polynomials of G are Hm(G) = ∑ {u, v} ⊆ V (G) dG (u) = dG (v) = m xdG (u,v), Hmn(G) = ∑ {u, v} ⊆ V (G) dG (u) = m, dG (v) = n xdG (u,v). It has been shown that H(G1) − ...