TY - JOUR
T1 - On inverse chromatic number problems (Extended abstract)
AU - Chung, Yerim
AU - Culus, Jean François
AU - Demange, Marc
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/8
Y1 - 2010/8
N2 - We study inverse chromatic number problems in permutation graphs and in interval graphs. Given a fixed instance and a fixed integer K, the instance has to be modified as little as possible so that the newly obtained graph can be colored with K colors or less. We show that the inverse (p, k)-colorability problem (defined similarly) in permutation graphs is polynomially solvable for fixed p and k. We then propose a polynomial-time algorithm for solving inverse chromatic number problem in interval graphs where all intervals have length 1 or 2. We also show that the latter problem is NP-hard if there is a constant number of different interval lengths.
AB - We study inverse chromatic number problems in permutation graphs and in interval graphs. Given a fixed instance and a fixed integer K, the instance has to be modified as little as possible so that the newly obtained graph can be colored with K colors or less. We show that the inverse (p, k)-colorability problem (defined similarly) in permutation graphs is polynomially solvable for fixed p and k. We then propose a polynomial-time algorithm for solving inverse chromatic number problem in interval graphs where all intervals have length 1 or 2. We also show that the latter problem is NP-hard if there is a constant number of different interval lengths.
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U2 - 10.1016/j.endm.2010.05.143
DO - 10.1016/j.endm.2010.05.143
M3 - Article
AN - SCOPUS:77954949804
VL - 36
SP - 1129
EP - 1136
JO - Electronic Notes in Discrete Mathematics
JF - Electronic Notes in Discrete Mathematics
SN - 1571-0653
IS - C
ER -