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A note on finding compact sets in graphs represented by an adjacency list

Authors
Kim, S.K.
Issue Date
Mar-1996
Publisher
Elsevier
Keywords
Adjacency list; Algorithms; Compact sets; Graphs
Citation
Information Processing Letters, v.57, no.6, pp 335 - 338
Pages
4
Journal Title
Information Processing Letters
Volume
57
Number
6
Start Page
335
End Page
338
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/60383
DOI
10.1016/0020-0190(96)00017-8
ISSN
0020-0190
1872-6119
Abstract
Dekel, Hu and Ouyang presented an O (N2) time algorithm for finding all compact sets of an edge-weighted graph G with M edges and N vertices. This is optimal provided G is represented by an adjacency matrix. Assuming G is represented by an adjacency list, we present an improved implementation of their algorithm which takes O(M + N log N) time to find and O(L) time to list all the compact sets, where L is the sum of the sizes of all compact sets of G.
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