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Antimagic Valuations for the Special Class of Plane Graphs

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Book cover Combinatorial Geometry and Graph Theory (IJCCGGT 2003)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3330))

Abstract

We deal with the problem of labeling the vertices, edges and faces of a special class of plane graphs with 3-sided internal faces in such a way that the label of a face and the labels of the vertices and edges surrounding that face all together add up to the weight of that face. These face weights then form an arithmetic progression with common difference d.

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References

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Author information

Authors and Affiliations

  1. Department of Appl. Mathematics, Technical University, Letná 9, 042 00, Košice, Slovak Republic

    Martin Bača

  2. Department of Mathematics, Institut Teknologi Bandung, Indonesia

    Edy Tri Baskoro

  3. School of Information Technology and Mathematical Sciences, University of Ballarat, VIC, 3350, Australia

    Mirka Miller

Authors
  1. Martin Bača
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  2. Edy Tri Baskoro
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  3. Mirka Miller
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Editor information

Editors and Affiliations

  1. Research Institute of Education, Tokai University, 2-28-4 Tomigaya, Shibuya-ku, Tokio, Japan

    Jin Akiyama

  2. Department of Mathematics, Institut Teknologi Bandung (ITB), Jalan Ganesa 10 Bandung, P.O. Box, 40132, Indonesia

    Edy Tri Baskoro

  3. Ibaraki University, Nakanarusawa, Hitachi, 316-8511, Ibaraki, Japan

    Mikio Kano

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© 2005 Springer-Verlag Berlin Heidelberg

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Bača, M., Baskoro, E.T., Miller, M. (2005). Antimagic Valuations for the Special Class of Plane Graphs. In: Akiyama, J., Baskoro, E.T., Kano, M. (eds) Combinatorial Geometry and Graph Theory. IJCCGGT 2003. Lecture Notes in Computer Science, vol 3330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30540-8_6

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  • DOI: https://doi.org/10.1007/978-3-540-30540-8_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24401-1

  • Online ISBN: 978-3-540-30540-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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