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Hamiltonian paths in L-shaped grid graphs

Hamiltonian paths in \(L\)-shaped grid graphs
Authors: Fatemeh Keshavarz-Kohjerdi; Alireza Bagheri;

Hamiltonian paths in L-shaped grid graphs

Abstract

We study the Hamiltonian path problem in C-shaped grid graphs, and present the necessary and sufficient conditions for the existence of a Hamiltonian path between two given vertices in these graphs. We also give a linear-time algorithm for finding a Hamiltonian path between two given vertices of a C-shaped grid graph, if it exists.

28 pages, 31 figures, and 20 references

Related Organizations
Keywords

FOS: Computer and information sciences, Eulerian and Hamiltonian graphs, Computational Complexity (cs.CC), NP-completeness, Computer Science - Computational Complexity, Hamiltonian path, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), grid graph, \(L\)-shaped grid graph, Paths and cycles

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Average
Green
hybrid