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A Study on C-Exponential Mean Labeling of Graphs

Author

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  • Thamaraiselvi Baskaran
  • Rajasekaran Ganapathy
  • A. Ghareeb

Abstract

A function h is mentioned as a C-exponential mean labeling of a graph GV,E that has s vertices and r edges if h:VG⟶1,2,3,⋯,r+1 is injective and the generated function h∗:EG⟶2,3,4,⋯,r+1 defined by h∗ab=1/ehbhb/haha1/hb−ha, for all ab∈EG, is bijective. A graph which recognizes a C-exponential mean labeling is defined as C-exponential mean graph. In the following study, we have studied the exponential meanness of the path, the graph triangular tree of Tn, CmPn, cartesian product of two paths Pm▫Pn, one-sided step graph of STn, double-sided step graph of 2ST2n, one-sided arrow graph of Ars, double-sided arrow graph of DArs, and subdivision of ladder graph SLt.

Suggested Citation

  • Thamaraiselvi Baskaran & Rajasekaran Ganapathy & A. Ghareeb, 2022. "A Study on C-Exponential Mean Labeling of Graphs," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, October.
    • Handle: RePEc:hin:jjmath:2865573
    DOI: 10.1155/2022/2865573
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