This paper studies the problem of drawing directed acyclic graphs in three dimensions in the straight-line grid model, and so that all directed edges are oriented in a common (upward) direction. We show that there exists a family of outerplanar directed acyclic graphs whose volume requirement is super-linear. We also prove that for the special case of rooted trees a linear volume upper bound is achievable.

Volume Requirements of 3D Upward Drawings

DI GIACOMO, Emilio;LIOTTA, Giuseppe;
2006

Abstract

This paper studies the problem of drawing directed acyclic graphs in three dimensions in the straight-line grid model, and so that all directed edges are oriented in a common (upward) direction. We show that there exists a family of outerplanar directed acyclic graphs whose volume requirement is super-linear. We also prove that for the special case of rooted trees a linear volume upper bound is achievable.
2006
3540314253
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/157508
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