Open AccessHyper-Wiener index and Laplacian spectrum
Author(s) -
Iván Gutman
Publication year - 2003
Publication title -
journal of the serbian chemical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.227
H-Index - 45
eISSN - 1820-7421
pISSN - 0352-5139
DOI - 10.2298/jsc0312949g
Subject(s) - wiener index , mathematics , laplace operator , combinatorics , spectrum (functional analysis) , eigenvalues and eigenvectors , lying , product (mathematics) , index (typography) , tree (set theory) , path (computing) , physics , mathematical analysis , computer science , quantum mechanics , geometry , graph , medicine , world wide web , radiology , programming language
The hyper-Wiener index WWW of a chemical tree T is defined as the sum of the product n1 n2 n3, over all pairs ?,? of vertices of T, where n1 and n2 are the number of vertices of T, lying on the two sides of the path which connects ? and ?, and n3 is the number of vertices lying between ? and ?. An expression enabling the calculation of WWW from the Laplacian eigenvalues of T has been deduced.