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ON THE WIENER INDEX OF A GRAPH
- H. Ramane, D. S. Revankar, A. B. Ganagi
- Mathematics
- 1 July 2012
Indeks Weiner dari suatu graf G, yang dinotasikan dengan W(G) adalah jumlahan jarak antara semua pasangan (tak terurut) dari titik-titik G. Pada artikel ini, kami mendapatkan indeks Weiner dari graf… Expand
Terminal Wiener Index of Line Graphs
- H. Ramane, Kishori P. Narayankar, Shailaja S. Shirkol, A. B. Ganagi
- Mathematics
- 2013
The terminal Wiener index of a graph is defined as the sum of the distances between the pendent vertices of a graph. In this paper we obtain results for the terminal Wiener index of line graphs.
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Hamming distance between the strings generated by adjacency matrix of a graph and their sum
- A. B. Ganagi, H. Ramane
- Mathematics
- 15 November 2016
Let \(A(G)\) be the adjacency matrix of a graph \(G\). Denote by \(s(v)\) the row of the adjacency matrix corresponding to the vertex \(v\) of \(G\). It is a string in the set \({\Bbb Z}_2^n\) of all… Expand
- 2
On a conjecture on the diameter of line graphs of graphs of diameter two
- H. Ramane, A. B. Ganagi
- Mathematics
- 2012
Let F1 be the 5-vertex path, F2 the graph obtained by identifying a vertex of a triangle with one end vertex of the 3-vertex path and F3 the graph obtained by identifying a vertex of a triangle with… Expand
- 3
- PDF
Terminal Hosoya Polynomial of Line Graphs
- H. Ramane, A. B. Ganagi, Kishori P. Narayankar, Shailaja S. Shirkol
- Mathematics
- 13 June 2013
The terminal Hosoya polynomial of a graph is defined as , where is the number of pairs of pendant vertices of that are at distance . In this paper we obtain terminal Hosoya polynomial of line graphs.
Hamming Index of Class of Graphs
- H. Ramane, A. B. Ganagi
- Mathematics
- 2013
Let A(G) be the adjacency matrix of a graph G. The rows of A(G) corresponding to a vertex v of G, denoted by s(v) is the string which belongs to n Z 2 , a set of n-tuples. The Hamming distance… Expand
- 2
Wiener index of graphs in terms of eccentricities
- H. Ramane, A. B. Ganagi, H. B. Walikar
- Mathematics
- 1 May 2013
The Wiener index W(G) of a connected graph G is defined as the sum of the distances between all unordered pairs of vertices of G. The eccentricity of a vertex v in G is the distance to a vertex… Expand