NONREGULAR GRAPHS WITH MINIMAL TOTAL IRREGULARITY
نویسندگان
چکیده
منابع مشابه
Non-regular graphs with minimal total irregularity
The total irregularity of a simple undirected graphG is defined as irrt(G) = 1 2 ∑ u,v∈V (G) |dG(u)− dG(v)|, where dG(u) denotes the degree of a vertex u ∈ V (G). Obviously, irrt(G) = 0 if and only if G is regular. Here, we characterize the non-regular graphs with minimal total irregularity and thereby resolve the recent conjecture by Zhu, You and Yang [18] about the lower bound on the minimal ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2015
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972715000271