Additively weighted Harary index of some composite graphs

作者：Alizadeh Yaser; Iranmanesh Ali^*; Doslic Tomislav

来源：Discrete Mathematics, 2013, 313(1): 26-34.

DOI：10.1016/j.disc.2012.09.011

• Additively weighted Harary index
• Join
• Composition
• Disjunction
• Symmetric difference

We introduce a modification of the Harary index in which the contributions of vertex pairs are weighted by the sum of their degrees. After establishing basic mathematical properties of the new invariant, we proceed by finding the extremal graphs and investigating its behavior under several standard graph products.

• 出版日期2013-1-6