Cayley graphs of given degree and diameters 3, 4 and 5
نویسنده
چکیده
Let Cd,k be the largest number of vertices in a Cayley graph of degree d and diameter k. We show that Cd,3 ≥ 3 16(d − 3) 3 and Cd,5 ≥ 25(d−7 4 ) 5 for any d ≥ 8, and Cd,4 ≥ 32(d−8 5 ) 4 for any d ≥ 10. For sufficiently large d our graphs are the largest known Cayley graphs of degree d and diameters 3, 4 and 5.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 313 شماره
صفحات -
تاریخ انتشار 2013