Dellamonica, D and Kalyanasundaram, Subrahmanyam and Martin, D M and Roedl, V and Shapira, A
(2015)
An Optimal Algorithm for Finding Frieze-Kannan Regular Partitions.
Combinatorics, Probability and Computing, 24 (2).
pp. 407-437.
ISSN 0963-5483
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Abstract
In this paper we prove that two local conditions involving the degrees and co-degrees in a graph can be used to determine whether a given vertex partition is Frieze-Kannan regular. With a more refined version of these two local conditions we provide a deterministic algorithm that obtains a Frieze-Kannan regular partition of any graph G in time O(|V(G)|(2)).
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