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Hexagonal grid drawings

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 657))

Abstract

In this paper we present a linear algorithm to draw triconnected planar graphs of degree 3 planar on a linear-sized hexagonal grid such that in at most one edge are bends. This algorithm can be used to draw this class of graphs planar with straight lines on a n/2 × n/2 grid, improving the best known grid bounds by a factor 4. We also show how to draw planar graphs of degree at most 3 planar with straight lines such that the minimum angle is ≥ π/6, thereby answering a question of Formann et al.

This work was supported by the ESPRIT Basic Research Actions of the EC under contract No. 7141 (project ALCOM II).

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References

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Ernst W. Mayr

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© 1993 Springer-Verlag Berlin Heidelberg

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Kant, G. (1993). Hexagonal grid drawings. In: Mayr, E.W. (eds) Graph-Theoretic Concepts in Computer Science. WG 1992. Lecture Notes in Computer Science, vol 657. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56402-0_53

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  • DOI: https://doi.org/10.1007/3-540-56402-0_53

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56402-7

  • Online ISBN: 978-3-540-47554-5

  • eBook Packages: Springer Book Archive

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