Open AccessInverse problem for Bell index
Author(s) -
Müge Togan,
Aysun Yurttaş,
Utkum Sanli,
Feriha Çelik,
Ismail Cangual
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2002615t
Subject(s) - mathematics , topological index , inverse , graph , invariant (physics) , discrete mathematics , inverse problem , combinatorics , mathematical analysis , geometry , mathematical physics
Due to their applications in many branches of science, topological graph indices are becoming more popular every day. Especially as one can model chemical molecules by graphs to obtain valuable information about the molecules using solely mathematical calculations on the graph. The inverse problem for topological graph indices is a recent problem proposed by Gutman and is about the existence of a graph having its index value equal to a given non-negative integer. In this paper, the inverse problem for Bell index which is one of the irregularity indices is solved. Also a recently defined graph invariant called omega invariant is used to obtain several properties related to the Bell index.