A better bound for the cop number of general graphs
نویسنده
چکیده
In this note,we prove that the cop number of any n-vertex graph G, denoted by c(G), is at most O ( n lgn ) . Meyniel conjectured c(G) = O(√n). It appears that the best previously known sublinear upper-bound is due to Frankl, who proved c(G) ≤ (1+ o(1)) lgn . © 2008 Wiley Periodicals, Inc. J Graph Theory 58: 45–48, 2008
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عنوان ژورنال:
- Journal of Graph Theory
دوره 58 شماره
صفحات -
تاریخ انتشار 2008