A linear-time algorithm for the longest path problem in rectangular grid graphs

DOI10.1016/j.dam.2011.08.010zbMath1237.05115OpenAlexW2047176418MaRDI QIDQ765359

Fatemeh Keshavarz-Kohjerdi, Alireza Bagheri, Asghar Asgharian Sardroud

Publication date: 19 March 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2011.08.010

zbMATH Keywords

Hamiltonian cyclelinear time algorithmHamiltonian pathgrid graphlongest path problemrectangular grid graph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graph algorithms (graph-theoretic aspects) (05C85) Eulerian and Hamiltonian graphs (05C45)

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Cites Work

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• Algorithms for long paths in graphs
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• An efficient algorithm for constructing Hamiltonian paths in meshes
• ON COMPUTING LONGEST PATHS IN SMALL GRAPH CLASSES
• The Longest Path Problem Is Polynomial on Interval Graphs
• Finding paths and cycles of superpolylogarithmic length
• Finding Long Paths, Cycles and Circuits
• Finding a Path of Superlogarithmic Length
• Finding a Longest Path in a Complete Multipartite Digraph
• Hamilton Paths in Grid Graphs

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