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A One-Vertex Decomposition Algorithm for Generating Algebraic Expressions of Square Rhomboids

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Frontiers in Algorithmics and Algorithmic Aspects in Information and Management

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7924))

Abstract

The paper investigates relationship between algebraic expressions and graphs. We consider a digraph called a square rhomboid that is an example of non-series-parallel graphs. Our intention is to simplify the expressions of square rhomboids and eventually find their shortest representations. With that end in view, we describe the new algorithm for generating square rhomboid expressions based on the decomposition method.

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Author information

Authors and Affiliations

  1. Holon Institute of Technology, Israel

    Mark Korenblit

  2. Ariel University, Israel

    Vadim E. Levit

Authors
  1. Mark Korenblit
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  2. Vadim E. Levit
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Editor information

Editors and Affiliations

  1. School of Engineering and Information Technology, Charles Darwin University, 0909, Darwin, NT, Australia

    Michael Fellows

  2. School of High-Technology for Human Welfare, Tokai University, 317 Nishimo, 410-0395, Numazu, Japan

    Xuehou Tan

  3. Department of Computer Science, Montana State University, 59717, Bozeman, MT, USA

    Binhai Zhu

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Korenblit, M., Levit, V.E. (2013). A One-Vertex Decomposition Algorithm for Generating Algebraic Expressions of Square Rhomboids. In: Fellows, M., Tan, X., Zhu, B. (eds) Frontiers in Algorithmics and Algorithmic Aspects in Information and Management. Lecture Notes in Computer Science, vol 7924. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38756-2_12

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  • DOI: https://doi.org/10.1007/978-3-642-38756-2_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38755-5

  • Online ISBN: 978-3-642-38756-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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