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Beyond Ohba’s Conjecture: A bound on the choice number of k-chromatic graphs with n vertices

✍ Scribed by Noel, Jonathan A.; West, Douglas B.; Wu, Hehui; Zhu, Xuding


Book ID
127088407
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
401 KB
Volume
43
Category
Article
ISSN
0195-6698

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A lower bound on the number of spanning
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If a graph G with cycle rank p contains both spanning trees with rn and with n end-vertices, rn < n, then G has at least 2p spanning trees with k end-vertices for each integer k, rn < k < n. Moreover, the lower bound of 2p is best possible. [ l ] and Schuster [4] independently proved that such span