Lower and Upper Bounds for Some Degree-Based Indices of Graphs

Topological indices are mathematical measurements regarding the chemical structures of any simple finite graph. These are used for QSAR and QSPR studies. We get bounds for some degree based topological indices of a graph using solely the vertex degrees. We obtain upper and lower bounds for these indices and investigate for the complete graphs, path graphs and Fibonacci-sum graphs.

Authors

Institutions

Publication Details

Journal
Fundamental Journal of Mathematics and Applications
Published
2025-03-28
DOI
https://doi.org/10.33401/fujma.1366063
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Lower and Upper Bounds for Some Degree-Based Indices of Graphs

İsmail Naci Cangül, Gül Özkan Kızılırmak, Emre Sevgi, Şerife Büyükköse
Fundamental Journal of Mathematics and Applications
Graph theory and applications
article

Lower and Upper Bounds for Some Degree-Based Indices of Graphs

İsmail Naci Cangül, Gül Özkan Kızılırmak, Emre Sevgi, Şerife Büyükköse
article en

Abstract

Topological indices are mathematical measurements regarding the chemical structures of any simple finite graph. These are used for QSAR and QSPR studies. We get bounds for some degree based topological indices of a graph using solely the vertex degrees. We obtain upper and lower bounds for these indices and investigate for the complete graphs, path graphs and Fibonacci-sum graphs.

Fundamental Journal of Mathematics and ApplicationsVol. 8(1)
Bursa Uludağ Üni̇versi̇tesi̇ (TR), Gazi Hastanesi (TR)
Openalex Percentile: Top 90%
Graph theory and applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.