A Unified Approach for Extremal General Exponential Multiplicative Zagreb Indices
نویسندگان
چکیده
The study of the maximum and minimal characteristics graphs is focus significant field mathematics known as extreme graph theory. Finding biggest or smallest that meet specified criteria main goal this discipline. There are several applications extremal theory in various fields, including computer science, physics, chemistry. Some important include: Computer networking, social chemistry physics well. Recently, 2021 exponential multiplicative Zagreb indices were introduced. In generalization, we introduce generalized form for α∈R+\{1}. Furthermore, to see behaviour first second α∈R+\{1}, used a transformation method. term two newly developed indices, will investigate bicyclic, uni-cyclic trees graphs. Four transformations some bounds presented terms indices.
منابع مشابه
Multiplicative Zagreb Indices of Trees
Let G be a graph with vertex set V (G) and edge set E(G) . The first and second multiplicative Zagreb indices of G are Π1 = ∏ x∈V (G) deg(x) 2 and Π2 = ∏ xy∈E(G) deg(x) deg(y) , respectively, where deg(v) is the degree of the vertex v . Let Tn be the set of trees with n vertices. We determine the elements of Tn , extremal w.r.t. Π1 and Π2 . AMS Mathematics Subject Classification (2000): 05C05, ...
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ژورنال
عنوان ژورنال: Axioms
سال: 2023
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms12070675