Diameter Bounds for Planar Graphs - Mathematics > CombinatoricsReport as inadecuate




Diameter Bounds for Planar Graphs - Mathematics > Combinatorics - Download this document for free, or read online. Document in PDF available to download.

Abstract: The inverse degree of a graph is the sum of the reciprocals of the degrees ofits vertices. We prove that in any connected planar graph, the diameter is atmost 5-2 times the inverse degree, and that this ratio is tight. To develop acrucial surgery method, we begin by proving the simpler related upper bounds4V-1-E-3 and 4V^2-3E on the diameter for connected planar graphs, whichare also tight.



Author: Radoslav Fulek, Filip Morić, David Pritchard

Source: https://arxiv.org/







Related documents