STOC Conference 2020 Conference Paper
Three-in-a-tree in near linear time
- Kai-Yuan Lai 0001
- Hsueh-I Lu
- Mikkel Thorup
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STOC Conference 2020 Conference Paper
SODA Conference 2012 Conference Paper
We study the problem of determining whether an n -node m -edge graph has an even hole, i. e. , an induced simple cycle consisting of an even number of nodes. Conforti, Cornuéjols, Kapoor, and Vušković gave the first polynomial-time algorithm for the problem, which runs in O ( n 40 ) time. Later, Chudnovsky, Kawarabayashi, and Seymour reduced the running time to O ( n 31 ). The best previously known algorithm for the problem, due to da Silva and Vušković, runs in O ( n 19 ) time. In this paper, we solve the problem in time O ( n 11 ).
SODA Conference 2002 Conference Paper
SODA Conference 2001 Conference Paper
STOC Conference 1996 Conference Paper