In this paper we show that an outerplanar graph G with maximum degree at most 3 has a 2-D orthogonal drawing with no bends if and only if G contains no triangles. We also show that an outerplanar graph G with maximum degree at most 6 has a 3-D orthogonal drawing with no bends if and only if G contains no triangles.
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Kumiko NOMURA, Satoshi TAYU, Shuichi UENO, "On the Orthogonal Drawing of Outerplanar Graphs" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 6, pp. 1583-1588, June 2005, doi: 10.1093/ietfec/e88-a.6.1583.
Abstract: In this paper we show that an outerplanar graph G with maximum degree at most 3 has a 2-D orthogonal drawing with no bends if and only if G contains no triangles. We also show that an outerplanar graph G with maximum degree at most 6 has a 3-D orthogonal drawing with no bends if and only if G contains no triangles.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.6.1583/_p
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@ARTICLE{e88-a_6_1583,
author={Kumiko NOMURA, Satoshi TAYU, Shuichi UENO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Orthogonal Drawing of Outerplanar Graphs},
year={2005},
volume={E88-A},
number={6},
pages={1583-1588},
abstract={In this paper we show that an outerplanar graph G with maximum degree at most 3 has a 2-D orthogonal drawing with no bends if and only if G contains no triangles. We also show that an outerplanar graph G with maximum degree at most 6 has a 3-D orthogonal drawing with no bends if and only if G contains no triangles.},
keywords={},
doi={10.1093/ietfec/e88-a.6.1583},
ISSN={},
month={June},}
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TY - JOUR
TI - On the Orthogonal Drawing of Outerplanar Graphs
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1583
EP - 1588
AU - Kumiko NOMURA
AU - Satoshi TAYU
AU - Shuichi UENO
PY - 2005
DO - 10.1093/ietfec/e88-a.6.1583
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2005
AB - In this paper we show that an outerplanar graph G with maximum degree at most 3 has a 2-D orthogonal drawing with no bends if and only if G contains no triangles. We also show that an outerplanar graph G with maximum degree at most 6 has a 3-D orthogonal drawing with no bends if and only if G contains no triangles.
ER -