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http://dx.doi.org/10.4134/JKMS.2005.42.6.1187

ASYMPTOTIC NUMBER OF GENERAL CUBIC GRAPHS WITH GIVEN CONNECTIVITY  

CHAE GAB-BYUNG (Department of Mathematics Yonsei University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.6, 2005 , pp. 1187-1203 More about this Journal
Abstract
Let g(2n, l, d) be the number of general cubic graphs on 2n labeled vertices with l loops and d double edges. We use inclusion and exclusion with two types of properties to determine the asymptotic behavior of g(2n, l, d) and hence that of g(2n), the total number of general cubic graphs of order 2n. We show that almost all general cubic graphs are connected. Moreover, we determined the asymptotic numbers of general cubic graphs with given connectivity.
Keywords
inclusion and exclusion; general cubic graphs; asymptotic number;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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