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Ad-Hoc Lanzhou Index.
- Source :
-
Mathematics (2227-7390) . Oct2023, Vol. 11 Issue 20, p4256. 19p. - Publication Year :
- 2023
-
Abstract
- This paper initiates the study of the mathematical aspects of the ad-hoc Lanzhou index. If G is a graph with the vertex set { x 1 , ... , x n } , then the ad-hoc Lanzhou index of G is defined by L z ˜ (G) = ∑ i = 1 n d i (n − 1 − d i) 2 , where d i represents the degree of the vertex x i . Several identities for the ad-hoc Lanzhou index, involving some existing topological indices, are established. The problems of finding graphs with the extremum values of the ad-hoc Lanzhou index from the following sets of graphs are also attacked: (i) the set of all connected ξ -cyclic graphs of a fixed order, (ii) the set of all connected molecular ξ -cyclic graphs of a fixed order, (iii) the set of all graphs of a fixed order, and (iv) the set of all connected molecular graphs of a fixed order. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 20
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 173316783
- Full Text :
- https://doi.org/10.3390/math11204256