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Total edge irregularity strength of accordion graphs

Author

Listed:
  • Muhammad Kamran Siddiqui

    (Comsats Institute of Information Technology)

  • Deeba Afzal

    (The University of Lahore)

  • Muhammad Ramzan Faisal

    (The University of Lahore)

Abstract

An edge irregular total k-labeling $$\varphi : V\cup E \rightarrow \{ 1,2, \dots , k \}$$ φ : V ∪ E → { 1 , 2 , ⋯ , k } of a graph $$G=(V,E)$$ G = ( V , E ) is a labeling of vertices and edges of G in such a way that for any different edges xy and $$x'y'$$ x ′ y ′ their weights $$\varphi (x)+ \varphi (xy) + \varphi (y)$$ φ ( x ) + φ ( x y ) + φ ( y ) and $$\varphi (x')+ \varphi (x'y') + \varphi (y')$$ φ ( x ′ ) + φ ( x ′ y ′ ) + φ ( y ′ ) are distinct. The total edge irregularity strength, tes(G), is defined as the minimum k for which G has an edge irregular total k-labeling. We have determined the exact value of the total edge irregularity strength of accordion graphs.

Suggested Citation

  • Muhammad Kamran Siddiqui & Deeba Afzal & Muhammad Ramzan Faisal, 2017. "Total edge irregularity strength of accordion graphs," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 534-544, August.
    • Handle: RePEc:spr:jcomop:v:34:y:2017:i:2:d:10.1007_s10878-016-0090-0
    DOI: 10.1007/s10878-016-0090-0
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    Citations

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    Cited by:

    1. Hong Yang & Muhammad Kamran Siddiqui & Muhammad Ibrahim & Sarfraz Ahmad & Ali Ahmad, 2018. "Computing The Irregularity Strength of Planar Graphs," Mathematics, MDPI, vol. 6(9), pages 1-14, August.
    2. Xiujun Zhang & Muhammad Ibrahim & Syed Ahtsham ul Haq Bokhary & Muhammad Kamran Siddiqui, 2018. "Edge Irregular Reflexive Labeling for the Disjoint Union of Gear Graphs and Prism Graphs," Mathematics, MDPI, vol. 6(9), pages 1-10, August.

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