G-2021-25
Lower bounds and properties for the average number of colors in the non-equivalent colorings of a graph
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We study the average number \(A(G)\)
of colors in the non-equivalent colorings of a graph \(G\)
. We show some general properties of this graph invariant and determine its value for some classes of graphs. We then conjecture several lower bounds on \(A(G)\)
and prove that these conjectures are true for specific classes of graphs such as triangulated graphs and graphs with maximum degree at most 2.
Published April 2021 , 18 pages
Research Axis
Publication
Aug 2023
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Discrete Applied Mathematics, 335, 69–81, 2023
BibTeX reference