Parameterized Algorithms in Smooth 4-Regular Hamiltonian Graphs
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Springer
Abstract
Smooth 4-regular hamiltonian graphs are generalizations of cycle plus triangles graphs. It has been shown that both the independent set and 3-colorability problems are NP-Complete in this class of graphs. In this paper we show that these problems are fixed parameter tractable if we choose the number of inner cycles as parameter.
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Full text can be accessed at
http://link.springer.com/article/10.1007/s11786-007-0031-5
Citation
Mujuni, E., 2008. Parameterized algorithms in smooth 4-regular Hamiltonian graphs. Mathematics in Computer Science, 1(4), pp.701-708.

