شماره ركورد كنفرانس
5263
عنوان مقاله
Two modifications of Zagreb indices under some graph operations
پديدآورندگان
Falahati Nezhad Farzaneh farzanehfalahati_n@yahoo.com Department of Mathematics, Safadasht Branch, Islamic Azad University, Tehran, Iran , Dehgardi Nasrin n.dehgardi@sirjantech.ac.ir Department of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, Iran , Azari Mahdieh mahdie.azari@gmail.com Department of Mathematics, Kazerun Branch, Islamic Azad University, P. O. Box: 73135-168, Kazerun, Iran
تعداد صفحه
4
كليدواژه
Graph invariants , graph operations , vertex degree , upper bound
سال انتشار
1402
عنوان كنفرانس
54 امين كنفرانس رياضي ايران
زبان مدرك
انگليسي
چكيده فارسي
The modified Zagreb indices of a nontrivial simple connected graph $A$ are formulated by $$^mM_1(A)=sum_{ain V_A}frac{1}{d^2_{A}(a)}~~{m{and}}~~ ^mM_2(A)=sum_{e=abin E_A}frac{1}{d_{A}(a)d_{A}(b)},$$ where $V_A$, $E_A$ and $d_{A}(a)$ stand for the vertex set of $A$, edge set of $A$ and degree of $a$ in $A$, respectively. In this paper, we obtain upper bounds on the modified Zagreb indices of some graph operations including join, corona product, Cartesian product and lexicographic product of graphs.
كشور
ايران
لينک به اين مدرک