Relative Length of Longest Paths and Cycles in Graphs
نویسندگان
چکیده
For a graphG, let diff(G) = p(G)− c(G), where p(G) and c(G) denote the orders of a longest path and a longest cycle inG, respectively. LetG be a 3-connected graph of order n. In the paper, we give a best-possible lower bound to σ4(G) to assure diff(G) ≤ 1. The result settles a conjecture in J. Graph Theory 37 (2001), 137–156.
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ورودعنوان ژورنال:
- Graphs and Combinatorics
دوره 23 شماره
صفحات -
تاریخ انتشار 2007