Terminal Wiener Index of Line Graphs

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.

[1]  Martin Knor,et al.  The Wiener index in iterated line graphs , 2012, Discret. Appl. Math..

[2]  Xiaotie Deng,et al.  Equiseparability on terminal Wiener index , 2012, Appl. Math. Lett..

[3]  Hua Wang,et al.  The sum of the distances between the leaves of a tree and the 'semi-regular' property , 2011, Discret. Math..

[4]  Nina S. Schmuck The Wiener index of a graph , 2010 .

[5]  H. Wiener Structural determination of paraffin boiling points. , 1947, Journal of the American Chemical Society.

[6]  Martin Knor,et al.  On a conjecture about Wiener index in iterated line graphs of trees , 2012, Discret. Math..

[7]  I. Gutman,et al.  Wiener Index of Trees: Theory and Applications , 2001 .

[8]  N. Trinajstic,et al.  The Wiener Index: Development and Applications , 1995 .

[9]  I. Gutman,et al.  ON THE TERMINAL WIENER INDEX OF THORN GRAPHS , 2010 .

[10]  Nina S. Schmuck,et al.  Greedy Trees, Caterpillars, and Wiener-Type Graph Invariants , 2012 .

[11]  M. Randic,et al.  Highly compact 2D graphical representation of DNA sequences , 2004, SAR and QSAR in environmental research.

[12]  Boris Furtula,et al.  Terminal Wiener index , 2009 .

[13]  I. Gutman,et al.  Wiener Index of Hexagonal Systems , 2002 .

[14]  Boris Horvat,et al.  Terminal polynomials and star-like graphs , 2008 .

[15]  Martin Knor,et al.  Wiener Index of Line Graphs , 2014 .

[16]  Roi Krakovski,et al.  On Wiener index of graphs and their line graphs , 2010 .

[17]  I. Gutman,et al.  Some recent results in the theory of the Wiener number , 1993 .