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G-2007-100

Using Size for Bounding Expressions of Graph Invariants

, , and

BibTeX reference

With the help of the AutoGraphiX system, we study relations of the form

where and are invariants of the graph , is one of the operations , and are best possible lower and upper bounding functions depending only one the size m of G. Specifically, we consider couples of indices where is a measure of distance, i.e., diameter, radius or average eccentricity, and is a measure of connectivity, i.e., minimum degree, edge connectivity and vertex connectivity. Conjectures are obtained and then proved in almost all cases.

, 20 pages

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Using size for bounding expressions of graph invariants
, , and
Annals of Operations Research, 188(1), 415–427, 2011 BibTeX reference