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On the preservation of the Wiener index upon removing a vertex in a cubic graph Conference attendances

Language Английский
Participant type Секционный
Conference 22nd International conference "Mathematical Optimization Theory and Operations Research"
02-08 Jul 2023 , Екатеринбург
Authors Dobrynin Andrey Alekseevich 1
Affiliations
1 Sobolev Institute of Mathematics

Abstract: The Wiener index, W (G), is the sum of distances between all vertices of a connected graph G. In 2018, Majstorovic, Knor and Skrekovski posed the problem of finding r-regular graphs except the cycle of order 11 having at least one vertex with property W(G) = W (G–v). An infinite family of cubic graphs with four such vertices is presented.
Cite: Dobrynin A.A.
On the preservation of the Wiener index upon removing a vertex in a cubic graph
22nd International conference "Mathematical Optimization Theory and Operations Research" 02-08 Jul 2023