Total edge irregularity strength of accordion graphs

Muhammad Kamran Siddiqui (), Deeba Afzal () and Muhammad Ramzan Faisal ()
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Muhammad Kamran Siddiqui: Comsats Institute of Information Technology
Deeba Afzal: The University of Lahore
Muhammad Ramzan Faisal: The University of Lahore

Journal of Combinatorial Optimization, 2017, vol. 34, issue 2, No 16, 534-544

Abstract: 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.

Keywords: Irregularity strength; Total edge irregularity strength; Edge irregular total labeling; Accordion graph; 05C78 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10878-016-0090-0

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