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Graceful Labeling of Spider Graphs With at Most Five Legs

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Listed:
  • A. Panpa
  • S. Imnang
  • T. Wasuanankul

Abstract

A graceful labeling of a graph G with q edges is an injection f from the vertices of G to the set 0,1,⋯,q such that, when each edge uv is assigned the label fu−fv, the resulting edge labels are distinct. A spider graph is a tree with exactly one vertex of degree greater than 2, and this vertex is called the branch vertex. A leg of a spider graph is a path from the branch vertex to a leaf of the tree. We show that there exists graceful labeling of spider graphs with at most five legs.

Suggested Citation

  • A. Panpa & S. Imnang & T. Wasuanankul, 2025. "Graceful Labeling of Spider Graphs With at Most Five Legs," Journal of Applied Mathematics, Hindawi, vol. 2025, pages 1-5, September.
    • Handle: RePEc:hin:jnljam:5826777
    DOI: 10.1155/jama/5826777
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