Properly colored Hamilton cycles in edge-colored complete graphs
نویسندگان
چکیده
It is shown that for every > 0 and n > n0( ), any complete graph K on n vertices whose edges are colored so that no vertex is incident with more than (1 − 1 √ 2 − )n edges of the same color, contains a Hamilton cycle in which adjacent edges have distinct colors. Moreover, for every k between 3 and n any such K contains a cycle of length k in which adjacent edges have distinct colors.
منابع مشابه
Characterization of edge-colored complete graphs with properly colored Hamilton paths
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ورودعنوان ژورنال:
- Random Struct. Algorithms
دوره 11 شماره
صفحات -
تاریخ انتشار 1997