
Upper bounds on the average number of colors in the nonequivalent colorings of a graph
A coloring of a graph is an assignment of colors to its vertices such th...
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Lower Bounds and properties for the average number of colors in the nonequivalent colorings of a graph
We study the average number 𝒜(G) of colors in the nonequivalent colorin...
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Using Graph Theory to Derive Inequalities for the Bell Numbers
The Bell numbers count the number of different ways to partition a set o...
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Minimum Eccentric Connectivity Index for Graphs with Fixed Order and Fixed Number of Pending Vertices
The eccentric connectivity index of a connected graph G is the sum over ...
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Maximum Eccentric Connectivity Index for Graphs with Given Diameter
The eccentricity of a vertex v in a graph G is the maximum distance betw...
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PHOEG Helps Obtaining Extremal Graphs
Extremal Graph Theory aims to determine bounds for graph invariants as w...
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Digenes: genetic algorithms to discover conjectures about directed and undirected graphs
We present Digenes, a new discovery system that aims to help researchers...
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Hadrien Mélot
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