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[HTML][HTML] An upper bound on Wiener indices of maximal planar graphs
Z Che, KL Collins - Discrete Applied Mathematics, 2019 - Elsevier
The Wiener index of a connected graph is the summation of distances between all
unordered pairs of vertices of the graph. The status of a vertex in a connected graph is the …
unordered pairs of vertices of the graph. The status of a vertex in a connected graph is the …
The maximum Wiener index of maximal planar graphs
The Wiener index of a connected graph is the sum of the distances between all pairs of
vertices in the graph. It was conjectured that the Wiener index of an n-vertex maximal planar …
vertices in the graph. It was conjectured that the Wiener index of an n-vertex maximal planar …
Wiener index and remoteness in triangulations and quadrangulations
Let G be aa connected graph. The Wiener index of a connected graph is the sum of the
distances between all unordered pairs of vertices. We provide asymptotic formulae for the …
distances between all unordered pairs of vertices. We provide asymptotic formulae for the …
Average distance and vertex‐connectivity
The average distance µ (G) of a connected graph G of order n is the average of the
distances between all pairs of vertices of G, ie, equation image, where V (G) denotes the …
distances between all pairs of vertices of G, ie, equation image, where V (G) denotes the …
[PDF][PDF] Average distance, radius and remoteness of a graph.
B Wu, W Zhang - Ars Math. Contemp., 2014 - researchgate.net
Abstract Let G=(V, E) be a connected graph on n vertices. Denote byl (G) the average
distance between all pairs of vertices in G. The remoteness ρ (G) of a connected graph G is …
distance between all pairs of vertices in G. The remoteness ρ (G) of a connected graph G is …
[HTML][HTML] Wiener index of quadrangulation graphs
The Wiener index of a graph G, denoted W (G), is the sum of the distances between all non-
ordered pairs of vertices in GÉ Czabarka, et al. conjectured that for a simple …
ordered pairs of vertices in GÉ Czabarka, et al. conjectured that for a simple …
[PDF][PDF] Average D-distance between vertices of a graph
The D-distance between vertices of a graph G is obtained by considering the path lengths
and as well as the degrees of vertices present on the path. The average D-distance between …
and as well as the degrees of vertices present on the path. The average D-distance between …
[HTML][HTML] The Steiner k-Wiener index of graphs with given minimum degree
P Dankelmann - Discrete Applied Mathematics, 2019 - Elsevier
Let G be a connected graph. The Steiner distance d (S) of a set S of vertices is the minimum
size of a connected subgraph of G containing all vertices of S. For k∈ N, the Steiner k …
size of a connected subgraph of G containing all vertices of S. For k∈ N, the Steiner k …
[PDF][PDF] Average D-distance Between edges of a graph
The D-distance between vertices of a graph G is obtained by considering the path lengths
and as well as the degrees of vertices present on the path. The average D-distance of a …
and as well as the degrees of vertices present on the path. The average D-distance of a …
Wiener index, number of subtrees, and tree eccentric sequence
The eccentricity of a vertex $ u $ in a connected graph $ G $ is the distance between $ u $
and a vertex farthest from it; the eccentric sequence of $ G $ is the nondecreasing sequence …
and a vertex farthest from it; the eccentric sequence of $ G $ is the nondecreasing sequence …