Selected topics on Wiener index

Trees (05C05) Distance in graphs (05C12) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Directed graphs (digraphs), tournaments (05C20) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) Chemical graph theory (05C92)

Cites Work

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Orientations of graphs with maximum Wiener index
Some remarks on Wiener index of oriented graphs
An inequality between the edge-Wiener index and the Wiener index of a graph
Graphs with the second and third maximum Wiener indices over the 2-vertex connected graphs
Spanning trees with many leaves and average distance
The edge-Wiener index of a graph
The Szeged and the Wiener index of graphs
Wiener index of hexagonal systems
Wiener index versus maximum degree in trees
Graphs whose Wiener index does not change when a specific vertex is removed
Digraphs with large maximum Wiener index
The average connectivity of a digraph
Superdominance order and distance of trees with bounded maximum degree
On the total distance between nodes in tournaments
Wiener index of graphs with radius two
Graphs with a given diameter that maximise the Wiener index
Some vertex/edge-degree-based topological indices of \(r\)-apex trees
On the variable Wiener-Szeged inequality
The Wiener index of signed graphs
Wiener index and graphs, almost half of whose vertices satisfy Šoltés property
On investigations of graphs preserving the Wiener index upon vertex removal
A proof of a conjecture on maximum Wiener index of oriented ladder graphs
On the relationship between variable Wiener index and variable Szeged index
Maximal Wiener index for graphs with prescribed number of blocks
An asymptotic resolution of a problem of Plesník
Extreme Wiener indices of trees with given number of vertices of maximum degree
A relaxed version of Šoltés's problem and cactus graphs
An inequality between variable Wiener index and variable Szeged index
The structure of graphs with given number of blocks and the maximum Wiener index
A few examples and counterexamples in spectral graph theory
Graphs preserving Wiener index upon vertex removal
Weighted Harary indices of apex trees and \(k\)-apex trees
On maximum Wiener index of trees and graphs with given radius
Counterexamples to the conjecture on orientations of graphs with minimum Wiener index
Mathematical aspects of Wiener index
On the sum of all distances in a graph or digraph
Distance in graphs
Wiener index in graphs with given minimum degree and maximum degree
A Note on the Maximum Value of W(L(G))/W(G)
On a conjecture about the ratio of Wiener index in iterated line graphs
WIENER INDEX OF TREES OF GIVEN ORDER AND DIAMETER AT MOST
The interchange graph of a finite graph
On maximum Wiener index of directed grids
Wiener index of trees: Theory and applications
The extremal average distance of cubic graphs
Extremal total distance of graphs of given radius I
On the Wiener index of orientations of graphs
On relaxed Šoltés's problem