Some Results on Generalized Degree Distance

• 作者: Ali Iranmanesh Asma Hamzeh Samaneh Hossein-Zadeh
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: Generalized Degree DISTANCE CARTESIAN Product JOIN SYMMETRIC DIFFERENCE Composition DISJUNCTION
• 年，卷（期）: 2013,（3）
• 页码范围: 143-150
• 页数: 8页
• 分类号: O1

摘要

In [1], Hamzeh, Iranmanesh and Hossein-Zadeh and M. V. Diudea recently introduced the generalized degree distance of graphs. In this paper, we present explicit formulas for this new graph invariant of the Cartesian product, composition, join, disjunction and symmetric difference of graphs and introduce generalized and modified generalized degree distance polynomials of graphs, such that their first derivatives at x = 1 are respectively, equal to the generalized degree distance and the modified generalized degree distance. These polynomials are related to Wiener-type invariant polynomial of graphs.