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math.CO2019
The normality and sum of normalities of trees
Ya-Hong Chen, Hua Wang, Xiao-Dong Zhang
The eccentricity of a vertex in a graph is the maximum distance from to any other vertex. The vertices whose eccentricity are equal to the diameter (the maximum eccentr…
math.CO2019
Variations of the eccentricity and their properties in trees
Ya-Hong Chen, Hua Wang, Xiao-Dong Zhang
Motivated from the study of eccentricity, center, and sum of eccentricities in graphs and trees, we introduce several new distance-based global and local functions based on the sma…