Geodesic
Polynomial-time solvability of the independent set problem in a certain class of subcubic planar graphs
Diskretnyj analiz i issledovanie operacij, Tome 24 (2017) no. 3, pp. 35-60

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The independent set problem for a given simple graph is to compute the size of a maximum subset of its pairwise non-adjacent vertices. In this paper we prove polynomial-time solvability of the problem for subcubic planar graphs not containing an induced tree, obtained by coinciding ends of three paths of lengths 3, 3, and 2 correspondingly. Bibliogr. 10.
Keywords: independent set problem, graph reduction
Mots-clés : efficient algorithm. 
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     title = {Polynomial-time solvability of the independent set problem in a certain class of subcubic planar graphs},
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D. S. Malyshev; D. V. Sirotkin. Polynomial-time solvability of the independent set problem in a certain class of subcubic planar graphs. Diskretnyj analiz i issledovanie operacij, Tome 24 (2017) no. 3, pp. 35-60. http://geodesic.mathdoc.fr/item/DA_2017_24_3_a2/