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Peer-reviewedCC BYMATCH Communications in Mathematical and in Computer Chemistry

New Inequalities Linking the First and Second Zagreb Indices

  • El-Mehdi Mehiri
Open at sourcePDFDOICite

Abstract

The first and second Zagreb indices are among the most studied vertex–degree–based graph invariants and play an important role in both chemical graph theory and extremal graph analysis. In this paper we establish new inequalities that directly relate these two indices under general structural assumptions.

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Cite

BibTeXRIS
BibTeX
@article{mehiri2026inequalities,
  title = {{New Inequalities Linking the First and Second Zagreb Indices}},
  author = {El-Mehdi Mehiri},
  journal = {MATCH Communications in Mathematical and in Computer Chemistry},
  year = {2026},
  month = sep,
  doi = {10.46793/match.97-3.05226},
  url = {https://hal.science/hal-05749048v1},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - New Inequalities Linking the First and Second Zagreb Indices
AU  - El-Mehdi Mehiri
PY  - 2026
DA  - 2026/09/01
JO  - MATCH Communications in Mathematical and in Computer Chemistry
DO  - 10.46793/match.97-3.05226
UR  - https://hal.science/hal-05749048v1
AB  - The first and second Zagreb indices are among the most studied vertex–degree–based graph invariants and play an important role in both chemical graph theory and extremal graph analysis. In this paper we establish new inequalities that directly relate these two indices under general structural assumptions.
SN  - 0340-6253
ER  -