Various heuristic algorithms to minimise the two-page crossing numbers of graphs
Date
2015-08-13
Supervisor/s
Journal Title
Journal ISSN
Volume Title
Publisher
De Gruyter
Department
Type
Article
ISSN
2299-1093
Format
Free to read from
Citation
He H, Salagean A, Makinen E, Vrt’o I, Various heuristic algorithms for the two-page drawing problem of graphs, Open Computer Science, Vol. 5, Issue 1, August 2015, pp. 22-40
Abstract
We propose several new heuristics for the twopage book crossing problem, which are based on recent algorithms for the corresponding one-page problem. Especially, the neural network model for edge allocation is combined for the first time with various one-page algorithms. We investigate the performance of the new heuristics by testing them on various benchmark test suites. It is found out that the new heuristics outperform the previously known heuristics and produce good approximations of the planar crossing number for severalwell-known graph families. We conjecture that the optimal two-page drawing of a graph represents the planar drawing of the graph.
Description
Software Description
Software Language
Github
Keywords
Heuristic algorithm, Two-page book crossing number, One-page book crossing number, Hamiltonian cycle, Planar drawing
DOI
Rights
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