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Trudy Instituta Matematiki, 2019, Volume 27, Number 1-2, Pages 108–126 (Mi timb306)  
Topological indices of cographs

V. V. Lepina, V. I. Benediktovicha, M. Talmaciub

a Institute of Mathematics, National Academy of Sciences of Belarus
b "Vasile Alecsandri" University of Bacau, Romania
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Abstract: The Wiener index, the Harary index and edge-Wiener index are classic and well-known topological indices for the characterization of molecular graphs. Firstly, we give the formulae and algorithms for these topological indices of the complements of trees and cographs. Secondly, we present some sufficient conditions for a cograph to be Hamiltonian.
Keywords: cograph, Wiener index, edge-Wiener index, Harary index, Hamiltonicity, Hamiltonian connectivity.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research F18RA–014
The Romanian Academy AR–FRBCF
The research was supported by F18RA–014 and AR–FRBCF research projects of bilateral cooperation performed by The Institute of Mathematics of the National Academy of Sciences of Belarus and “Vasile Alecsandri” University of Bacau of the Romanian Academy of Sciences respectively.
Received: 30.10.2019
Document Type: Article
UDC: 519.1
Language: English
Citation: V. V. Lepin, V. I. Benediktovich, M. Talmaciu, “Topological indices of cographs”, Tr. Inst. Mat., 27:1-2 (2019), 108–126
Citation in format AMSBIB
\Bibitem{LepBenTal19}
\by V.~V.~Lepin, V.~I.~Benediktovich, M.~Talmaciu
\paper Topological indices of cographs
\jour Tr. Inst. Mat.
\yr 2019
\vol 27
\issue 1-2
\pages 108--126
\mathnet{http://mi.mathnet.ru/timb306}
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