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. 2016 Mar 1;17:113. doi: 10.1186/s12859-016-0962-4

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© Jindalertudomdee et al. 2016

Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

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Fig. 10 — Examples of symmetric paths. The red lines denote symmetric paths. a T ₅, where (v ₂,v ₁,v ₃) is a symmetric path, and $T_{5}^{sub} (v_{2}, v_{1}) =_{m} T_{5}^{sub} (v_{3}, v_{1})$ . b T ₆, where (v ₅,v ₂,v ₁,v ₃) is a symmetric path, $T_{6}^{sub} (v_{2}, v_{1}) =_{m} T_{6}^{sub} (v_{1}, v_{2})$ and C v ₄ T ₆=C v ₆ T ₆