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A Conjecture on Super Edge‐Magic Total Labeling of 4‐Cycle Books

Author

Listed:
  • Mudin Simanihuruk
  • Tri Atmojo Kusmayadi
  • Baki Swita
  • Minsi Romala
  • Friska Damanik

Abstract

A graph G is called cycle books B[(4, m), 2] if G consists of m cycles C4 with a common path P2. Figueroa‐Centeno, Ichishima, and Muntaner‐Batle conjecture that the graph B[(4, m), 2] is super edge‐magic total if and only if m is even or m ≡ 5 mod(8). In this article, we prove this conjecture for m ≥ 36 and m = 0 mod (2).

Suggested Citation

  • Mudin Simanihuruk & Tri Atmojo Kusmayadi & Baki Swita & Minsi Romala & Friska Damanik, 2021. "A Conjecture on Super Edge‐Magic Total Labeling of 4‐Cycle Books," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:8483926
    DOI: 10.1155/2021/8483926
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    References listed on IDEAS

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    1. Baki Swita & Ulfasari Rafflesia & Nova Henni Ms & Dolly Stio Adji & Mudin Simanihuruk, 2019. "On Edge Magic Total Labeling of (7, 3)-Cycle Books," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2019, pages 1-8, January.
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    1. Baki Swita & Rupmana Br Butar-Butar & Dea Cahya Pramesti & Noni Febriyan & Dara Puspita & Novi Siska Safitri & Lola Azhari & Mudin Simanihuruk, 2025. "A Partial Solution to an Open Problem on Super Edge‐Magic Total Labelings of (4, 3)‐Cycle Books Graphs," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).

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