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title:(A AND hamiltonian AND cycle AND in AND the AND square AND of AND a AND 2-connected AND graph AND in AND linear AND time)

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1 Conference paper

A hamiltonian cycle in the square of a 2-connected graph in linear time

Alstrup, Stephen; Georgakopoulos, Agelos; Rotenberg, Eva; Thomassen, Carsten

Proceedings of the Twenty-ninth Annual Acm-siam Symposium on Discrete Algorithms — 2018, pp. 1645-1649

Fleischner's theorem says that the square of every 2-connected graph contains a Hamiltonian cycle. We present a proof resulting in an O(|E|) algorithm for producing a Hamiltonian cycle in the square G2 of a 2-connected graph G = (V, E). The previous best was O(|V|2) by Lau in 1980. More generally

Year: 2018

Language: English

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2 Conference paper

A hamiltonian cycle in the square of a 2-connected graph in linear time

Alstrup, Stephen; Georgakopoulos, Agelos; Rotenberg, Eva; Thomassen, Carsten

Proceedings of the Twenty-ninth Annual Acm-siam Symposium on Discrete Algorithms — 2018, pp. 1645-1649

Fleischner's theorem says that the square of every 2-connected graph contains a Hamiltonian cycle. We present a proof resulting in an O(|E|) algorithm for producing a Hamiltonian cycle in the square G2 of a 2-connected graph G = (V, E). The previous best was O(|V|2) by Lau in 1980. More generally

Year: 2018

Language: English

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