The general first Zagreb index conditions for Hamiltonian and traceable graphs

The general first Zagreb index of a graph G is defined as the sum of the th powers of the vertex degrees of G, where is a real number such that = 0 and = 1.In this paper, sufficient conditions involving the general first Zagreb index, with > 1 or < 0, are presented for the Hamiltonian and traceable graphs.

Publication Details

Journal
Discrete Mathematics Letters
Published
2024-08-20
DOI
https://doi.org/10.47443/dml.2024.119
Citations
1
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
1.01
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The general first Zagreb index conditions for Hamiltonian and traceable graphs

1 citations
Discrete Mathematics Letters
Graph theory and applications
1.01
article

The general first Zagreb index conditions for Hamiltonian and traceable graphs

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Abstract

The general first Zagreb index of a graph G is defined as the sum of the th powers of the vertex degrees of G, where is a real number such that = 0 and = 1.In this paper, sufficient conditions involving the general first Zagreb index, with > 1 or < 0, are presented for the Hamiltonian and traceable graphs.

Discrete Mathematics LettersVol. 14
Reduced inequalities
Openalex Percentile: Top 26%
Graph theory and applications
1.01
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The general first Zagreb index conditions for Hamiltonian and traceable graphs · Discrete Mathematics Letters (2024) | TGRS Research Map | TGRS