Abstract
A net is a graph consisting of a triangle C and three more vertices, each of degree one and with its neighbour in C, and all adjacent to different vertices of C. We give a polynomial-time algorithm to test whether an input graph has an induced subgraph which is a subdivision of a net. Unlike many similar questions, this does not seem to be solvable by an application of the "three-in-a-tree" subroutine.
Original language | English (US) |
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Pages (from-to) | 630-641 |
Number of pages | 12 |
Journal | Journal of Combinatorial Theory. Series B |
Volume | 103 |
Issue number | 5 |
DOIs | |
State | Published - Sep 2013 |
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
Keywords
- Induced subgraph
- Net
- Polynomial-time algorithm
- Subdivision