The Total Irregularity of Graphs under Graph Operations

نویسندگان

  • Hosam Abdo
  • Darko Dimitrov
چکیده

The total irregularity of a graph G is defined as irrt .G/ D 1 2 P u;v2V.G/ jdG.u/ dG.v/j, where dG.u/ denotes the degree of a vertex u 2 V.G/. In this paper we give (sharp) upper bounds on the total irregularity of graphs under several graph operations including join, lexicographic product, Cartesian product, strong product, direct product, corona product, disjunction and symmetric difference. 2010 Mathematics Subject Classification: 05C76; 05C07

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عنوان ژورنال:
  • CoRR

دوره abs/1304.0185  شماره 

صفحات  -

تاریخ انتشار 2013