Wiener, edge-Wiener, and vertex-edge-Wiener index of Basilica graphs

[1]  Andrey A. Dobrynin,et al.  Wiener index for graphs and their line graphs with arbitrary large cyclomatic numbers , 2005, Appl. Math. Lett..

[3]  Volodymyr Nekrashevych,et al.  Self-Similar Groups , 2005, 2304.11232.

[4]  Ivan Gutman,et al.  THE EDGE VERSIONS OF THE WIENER INDEX , 2009 .

[5]  Daniele D'Angeli,et al.  Partition Functions of the Ising Model on Some Self-similar Schreier Graphs , 2010, 1003.0611.

[6]  Bijan Taeri,et al.  Wiener index of some graph operations , 2012, Discret. Appl. Math..

[7]  Francesco Belardo,et al.  Wreath product of a complete graph with a cyclic graph: Topological indices and spectrum , 2018, Appl. Math. Comput..

[8]  R. Grigorchuk,et al.  Spectral properties of a torsion-free weakly branch group defined by a three state automaton , 2002 .

[9]  Petra Zigert.  The edge-Wiener index and the edge-hyper-Wiener index of phenylenes , 2017, Discret. Appl. Math..

[10]  Bijan Taeri,et al.  Four new sums of graphs and their Wiener indices , 2009, Discret. Appl. Math..

[11]  Andrea Scozzari,et al.  Total Distance, Wiener Index and Opportunity Index in Wreath Products of Star Graphs , 2019, Electron. J. Comb..

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

[13]  N. Sridharan,et al.  Wiener index of graphs with more than one cut-vertex , 2008, Appl. Math. Lett..

[14]  Tullio Ceccherini-Silberstein,et al.  The Tutte Polynomial of the Schreier graphs of the Grigorchuk group and the Basilica group , 2010, 1010.2902.

[15]  Rostislav I. Grigorchuk,et al.  On the asymptotic spectrum of random walks on infinite families of graphs , 1997 .

[16]  Ali Iranmanesh and Mahdieh Azari.  Edge-Wiener Descriptors in Chemical Graph Theory: A Survey , 2015 .

[17]  Peter Dankelmann,et al.  The edge-Wiener index of a graph , 2009, Discret. Math..

[18]  Niko Tratnik.  Generalized cut method for computing the edge-Wiener index , 2020, Discret. Appl. Math..

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

[20]  Dendrimer Graphs as Thorn Graphs and Their Topological Edge Properties , 2016 .

[21]  Alfredo Donno.  Spectrum, distance spectrum, and Wiener index of wreath products of complete graphs , 2017, Ars Math. Contemp..

[22]  T. Nagnibeda,et al.  Schreier graphs of the Basilica group , 2010 .

[23]  M. Azari.  A note on vertex-edge Wiener indices of graphs , 2016 .

[24]  Aleksandra Tepeh,et al.  Mathematical aspects of Wiener index , 2015, Ars Math. Contemp..

[25]  Daniele D'Angeli,et al.  Counting dimer coverings on self-similar Schreier graphs , 2011, Eur. J. Comb..

[26]  Alfredo Donno,et al.  Some degree and distance-based invariants of wreath products of graphs , 2018, Discret. Appl. Math..

[27]  A. Iranmanesh,et al.  Two Topological Indices of Three Chemical Structures , 2013 .

[28]  Asma Hamzeh,et al.  CALCULATION OF SOME TOPOLOGICAL INDICES OF SPLICES AND LINKS OF GRAPHS , 2011 .

[29]  Rostislav I. Grigorchuk,et al.  On a Torsion-Free Weakly Branch Group Defined by a Three State Automaton , 2002, Int. J. Algebra Comput..

[30]  Stephan G. Wagner,et al.  Some new results on distance-based graph invariants , 2009, Eur. J. Comb..

[31]  On the edge-Wiener index of the disjunctive product of simple graphs , 2020 .

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