Average distance in weighted graphs

DOI10.1016/j.disc.2011.02.010zbMath1238.05071OpenAlexW2028522333MaRDI QIDQ658013

Peter Dankelmann

Publication date: 11 January 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.02.010

zbMATH Keywords

weight functionaverage distance of graphs

Mathematics Subject Classification ID

Distance in graphs (05C12) Signed and weighted graphs (05C22)

Related Items (12)

A survey of the all-pairs shortest paths problem and its variants in graphs ⋮ On a quadratic programming problem involving distances in trees ⋮ Variance and Covariance of Distributions on Graphs ⋮ On the Wiener index, distance cospectrality and transmission-regular graphs ⋮ On solving a non-convex quadratic programming problem involving resistance distances in graphs ⋮ Continuous mean distance of a weighted graph ⋮ Mean distance on metric graphs ⋮ Wiener index in weighted graphs via unification of \(\varTheta^\ast\)-classes ⋮ Improved bounds on the difference between the Szeged index and the Wiener index of graphs ⋮ Total distance, Wiener index and opportunity index in wreath products of star graphs ⋮ DEGREE DISTANCE AND MINIMUM DEGREE ⋮ On average distance in tournaments and Eulerian digraphs

Cites Work

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• Spanning trees with many leaves and average distance
• Mean distance in a graph
• Computing the average distance of an interval graph
• On the sum of all distances in a graph or digraph
• Average distance and vertex-connectivity
• Distance in graphs
• Spanning Trees and Optimization Problems
• Average distance, minimum degree, and spanning trees

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