The Extremal Graphs of Some Topological Indices with Given Vertex k -Partiteness

Fang Gao, Xiaoxin Li, Kai Zhou and Jia-Bao Liu
Additional contact information
Fang Gao: School of Mathematics and Computer Science, Chizhou University, Chizhou 247000, China
Xiaoxin Li: School of Mathematics and Computer Science, Chizhou University, Chizhou 247000, China
Kai Zhou: School of Mathematics and Computer Science, Chizhou University, Chizhou 247000, China
Jia-Bao Liu: School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China

Mathematics, 2018, vol. 6, issue 11, 1-11

Abstract: The vertex k -partiteness of graph G is defined as the fewest number of vertices whose deletion from G yields a k -partite graph. In this paper, we characterize the extremal value of the reformulated first Zagreb index, the multiplicative-sum Zagreb index, the general Laplacian-energy-like invariant, the general zeroth-order Randi? index, and the modified-Wiener index among graphs of order n with vertex k -partiteness not more than m .

Keywords: topological index; vertex k -partiteness; extremal graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/11/271/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/11/271/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:6:y:2018:i:11:p:271-:d:184371

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().