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Your search keyword '"Liotta, Giuseppe"' showing total 18 results
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18 results on '"Liotta, Giuseppe"'

17. k-Spine, 1-bend planarity

Author

Giacomo, Emilio Di, Didimo, Walter, Liotta, Giuseppe, and Suderman, Matthew

Subjects
Theoretical Computer Science, Computer Science(all)
Published
2006
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18. -Spine, 1-bend planarity

Author

Giacomo, Emilio Di, Didimo, Walter, Liotta, Giuseppe, and Suderman, Matthew

Subjects
*GRAPH theory, *MATHEMATICS, *NUMERICAL analysis, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we study k-spine, h-bend planar drawings in which each vertex of a planar graph G lies on one of horizontal lines and each edge of G is drawn as a polyline containing at most bends. A graph with a k-spine, h-bend planar drawing is said to be k-spine, h-bend planar. We mainly focus on k-spine, 1-bend planar drawings, showing that for each , there exists a planar graph that is not k-spine, 1-bend planar, and furthermore, that it is -hard to test k-spine, 1-bend planarity. Given this complexity result, we further narrow our focus onto 2-spine, 1-bend planar drawings. We characterize 2-spine, 1-bend planarity using a new generalization of Hamiltonian graphs that we call Hamiltonian-with-handles graphs. We observe that our characterization naturally extends the connection between 2-page book embeddings and Hamiltonicity. Finally, we use our characterization to show that 2-outerplanar graphs are 2-spine, 1-bend planar. [Copyright &y& Elsevier]

Published
2006
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