The irregularity and total irregularity of Eulerian graphs
نویسندگان
چکیده مقاله:
For a graph G, the irregularity and total irregularity of G are defined as irr(G)=∑_(uv∈E(G))〖|d_G (u)-d_G (v)|〗 and irr_t (G)=1/2 ∑_(u,v∈V(G))〖|d_G (u)-d_G (v)|〗, respectively, where d_G (u) is the degree of vertex u. In this paper, we characterize all connected Eulerian graphs with the second minimum irregularity, the second and third minimum total irregularity value, respectively.
منابع مشابه
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عنوان ژورنال
دوره 9 شماره 2
صفحات 101- 111
تاریخ انتشار 2018-06-01
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