On Nontrivial Covers and Partitions of Graphs by Convex Sets
In this paper we prove that it is NP-complete to decide whether a graph can be partitioned into nontrivial convex sets. We show that it can be verified in polynomial time whether a graph can be covered by nontrivial convex sets. Also, we propose a recursive formula that establishes the maximum nontr...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova
2018-05-01
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Series: | Computer Science Journal of Moldova |
Subjects: | |
Online Access: | http://www.math.md/files/csjm/v26-n1/v26-n1-(pp3-14).pdf |