Characterization of quadratic independence polynomial of path graph, cycle graph and wheel graph
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Abstract
We present a combinatorial approach to the independence polynomial of quadratic graphs and fractals in this paper. This aids in overcoming the difficulties that mathematically rigorous self similar patterns present. Explanatory results show the various properties of various graph classes, such as energy, Hausdorff dimension, dynamics, and connectivity. The findings we obtained lay the groundwork for studying graphs from a fractal perspective.
Keywords:
Energy,, Hausdorff dimension, Independence polynomial, Fractals, Dynamics.Mathematics Subject Classification:
Maathematics- Pages: 1029-1034
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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G. Ferrin, Independence Polynomials, Master Dissertation, University of South Carolina - Columbia, 2014.
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I. Gutman, The energy of a graph, Ber. Math. Statist. Sekt. Forschungsz. Graz, 103(1978), 1-22.
Robert L.Devaney, An introduction to Chaotic Dynamical Systems, Second Edition, 1990.
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