Bridge and cycle degrees of vertices of graphs

The bridge degree bdeg v and cycle degree cdeg v of a vertex v in a graph G are, respectively, the number of bridges and number of cycle edges incident with v in G. A characterization of finite nonempty sets S of nonnegative integers is given for which S is the set of bridge degrees (cycle degrees)...

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Bibliographic Details
Main Authors: Gary Chartrand, Farrokh Saba, Nicholas C. Wormald
Format: Article
Language:English
Published: Wiley 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171284000375
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