iosr-Jm   Volume-20 ~ Issue-3 ~ May – Jun. 2024

Abstract : In this paper, we introduce the concepts sum - eccentricity divided by diameter of graph G, it is denoted by......

Key Word: sum - eccentricity, product - eccentricity, diameter, spectrum and energy

[1] Bukley F, Harary F Istance In Graphs. Addison Wesley, Redwood (1990).
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[3] M. Deva Saroja, M.S Paulraj, "Equienergetic Regular Graphs", International Journal Of Algorithms, Computing And Mathematics Vol. 3, No.3, (2010) 21-25.
[4] M. Deva Saroja, M.S Paulraj, "Energy Of Complement Graphs Of Some Equienergetic Regular Graphs", Journal Of Computer And Mathematical Sciences Vol. 1, Issue 6, (2010) 754-757.
[5] Gutman I. The Energy Of A Graph. Ber. Math. Statist. Sekt. Forschungsz. Graz, 103 (1978) 1 - 22..

Abstract : Hypercyclicity is the study of linear and continuous operators that possess a dense orbit. Hypercyclicity of linear operators is one of the most studied properties of linear dynamics and has become an active area of research. Hypercyclicity of various types of elementary operators including the generalised derivations, left and right multiplication operators among others has been studied and various results obtained. In this paper we present some results on hypercyclicity of the basic elementary operator.

Keywords: Hypercyclicity , Basic elementary operator and Orbit

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Abstract : In the paper we have reviewed, analyzed and generalized the two applications of Vedic Mathematics Ekadhikena Purvena Sutra: the multiplication method and the division method, in finding the decimal representation of vulgar fraction having the standard numerator 1 and the denominator ending with the digits 1, 3, 7 and 9. The unit and non-unit fractions with denominators ending with the digits 2, 4, 5, 6, and 8 have also been discussed as exceptions. The short cut method available for both the multiplication and division methods, which reduces half of the procedures and thus time as well as space, has been found not suitable for all types of fractions i.e., it is not applicable for all the fractions. An example has been given to prove it. We have also discussed........

Key-words: Ekadhikena Purvena Sutra, Fraction, Decimal Representation, Recurring, Non-recurring, Binomial theorem for negative integral index

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[4]. Gupta, V. K. (2015) Vedic Mathematics And The Mathematics Of Vedic Period – An Analysis And Application, 26 July – Dec, Pp- 01-12.
[5]. Gupta, A. (2018). The Power Of Vedic Maths, Jaico Publishing House, Mumbai, Pp. 79-83..