NOTE ON DEGREE KIRCHHOFF INDEX OF GRAPHS

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HAKIMI NEZHAAD MARDJAN; ASHRAFI ALI REZA; GUTMAN IVAN

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Journal: TRANSACTIONS ON COMBINATORICS Year:2013 | Volume:2 | Issue:3 Page(s): 43-52

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Information Journal Paper

Title

NOTE ON DEGREE KIRCHHOFF INDEX OF GRAPHS

Author(s)

HAKIMI NEZHAAD MARDJAN | ASHRAFI ALI REZA | GUTMAN IVAN | Issue Writer Certificate

Keywords

RESISTANCE DISTANCE (IN GRAPHS)Q2

KIRCHHOFF INDEXQ2

DEGREE KIRCHHOFF INDEXQ2

SPECTRUM OF GRAPHQ2

LAPLACIAN SPECTRUM OF GRAPHQ2

Abstract

The degree KIRCHHOFF INDEX of a connected graph G is defined as the sum of the terms di dj rij over all pairs of vertices, where di is the degree of the i-th vertex, and rij the resistance distance between the i-th and j-th vertex of G. Bounds for the degree KIRCHHOFF INDEX of the line and para-line graphs are determined. The special case of regular graphs is analyzed.

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APA: Copy

HAKIMI NEZHAAD, MARDJAN, ASHRAFI, ALI REZA, & GUTMAN, IVAN. (2013). NOTE ON DEGREE KIRCHHOFF INDEX OF GRAPHS. TRANSACTIONS ON COMBINATORICS, 2(3), 43-52. SID. https://sid.ir/paper/213748/en

Vancouver: Copy

HAKIMI NEZHAAD MARDJAN, ASHRAFI ALI REZA, GUTMAN IVAN. NOTE ON DEGREE KIRCHHOFF INDEX OF GRAPHS. TRANSACTIONS ON COMBINATORICS[Internet]. 2013;2(3):43-52. Available from: https://sid.ir/paper/213748/en

IEEE: Copy

MARDJAN HAKIMI NEZHAAD, ALI REZA ASHRAFI, and IVAN GUTMAN, “NOTE ON DEGREE KIRCHHOFF INDEX OF GRAPHS,” TRANSACTIONS ON COMBINATORICS, vol. 2, no. 3, pp. 43–52, 2013, [Online]. Available: https://sid.ir/paper/213748/en

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