# Hamiltonian cycle is polynomial on cocomparability graphs

Jitender S. Deogun, George Steiner

Research output: Contribution to journalArticle

3 Citations (Scopus)

### Abstract

Finding a Hamiltonian path or a Hamiltonian cycle in a general graph are classic NP-complete problems. In this paper we announce polynomial time solutions for these problems on cocomparability graphs. Our approach is based on exploiting the relationship between the Hamiltonian problem in a cocomparability graph G and the bump number problem in a partial order, the comparability graph of which is the complement of G.

Original language English (US) 165-172 8 Discrete Applied Mathematics 39 2 https://doi.org/10.1016/0166-218X(92)90168-A Published - Oct 22 1992

### Fingerprint

Hamiltonians
Hamiltonian circuit
Polynomials
Polynomial
Graph in graph theory
Comparability Graph
Hamiltonian path
Partial Order
Computational complexity
Polynomial time
Complement
NP-complete problem

### Keywords

• Hamiltonian cycle
• Hamiltonian path
• bump number
• cocomparability graphs
• partial order

### ASJC Scopus subject areas

• Discrete Mathematics and Combinatorics
• Applied Mathematics

### Cite this

In: Discrete Applied Mathematics, Vol. 39, No. 2, 22.10.1992, p. 165-172.

Research output: Contribution to journalArticle

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