The total irregularity of a graph
نویسندگان
چکیده
We consider only finite undirected graphs without loops or multiple edges. For terminology and notation not defined here we refer the reader to Bondy and Murty’s textbook [6]. In this note we investigate irregularity measures of graphs. A graph is regular if all its vertices have the same degree, otherwise it is irregular. However, it is of interest to measure how irregular it is. Several approaches have been proposed that characterize how irregular a graph is. For a graph G, Albertson [4] defines the imbalance of an edge e = uv ∈ E(G) as |dG(u)− dG(v)| and the irregularity of G as
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ورودعنوان ژورنال:
- Discrete Mathematics & Theoretical Computer Science
دوره 16 شماره
صفحات -
تاریخ انتشار 2014