The Maximum Independent Set Problem in Subclasses of Subcubic Graphs
نویسندگان
چکیده
The Maximum Independent Set problem is NP-hard and remains NP-hard for graphs with maximum degree three (also called subcubic graphs). In our talk we will study its complexity in hereditary subclasses of subcubic graphs. Let A r q be the graph consisting of an induced cycle C q and an induced path with r edges having an endvertex in common with the C q , where A 1 4 is known as the banner. Our main result is that the Maximum Independent Set problem can be solved in polynomial time in several classes of (S i,j,k , A r q)-free subcubic graphs, where S i,j,k is the graph consisting of three induced paths of lengths i, j and k, with a common initial vertex.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 338 شماره
صفحات -
تاریخ انتشار 2015