Volume 55, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|S765 - S785
|02 March 2021
Minimum status of trees with given parameters
School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China
* Corresponding author: email@example.com
Accepted: 12 February 2020
The status of a vertex v in a connected graph G is defined as the sum of the distances from v to all other vertices in G. The minimum status of G is the minimum of status of all vertices of G. We give the smallest and largest values for the minimum status of a tree with fixed parameters such as the diameter, the number of pendant vertices, the number of odd vertices, and the number of vertices of degree two, and characterize the unique extremal trees.
Mathematics Subject Classification: 05C12 / 05C35 / 05C90
Key words: Minimum status / closeness centrality / diameter / pendant vertices / odd vertices / series-reduced trees
© EDP Sciences, ROADEF, SMAI 2021
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