Revisiting Narayana's Approach to the Chung-Feller Theorem

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Ghoraishi Sharaki Seyed Mohsen

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Journal Paper

Paper Information

Journal: ADVANCES IN MATHEMATICAL MODELING Year:2019 | Volume:9 | Issue:2 Page(s): 206-212

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Information Journal Paper

Title

Revisiting Narayana's Approach to the Chung-Feller Theorem

Author(s)

Ghoraishi Sharaki Seyed Mohsen | Issue Writer Certificate

Keywords

Catalan numbersQ1

north-east pathQ1

flawQ1

Abstract

Using cyclic permutations, Narayana investigated the relation between the area under north-east paths from the origin to the point (n, n) and the number of the flaws of the paths. His result implies a proof to the Chung-Feller Theorem. In this paper by revising the Narayana's approach, we offer short proofs to the theorems of Narayana and Chung-Feller.

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APA: Copy

Ghoraishi Sharaki, Seyed Mohsen. (2019). Revisiting Narayana's Approach to the Chung-Feller Theorem. ADVANCES IN MATHEMATICAL MODELING, 9(2 ), 206-212. SID. https://sid.ir/paper/243880/en

Vancouver: Copy

Ghoraishi Sharaki Seyed Mohsen. Revisiting Narayana's Approach to the Chung-Feller Theorem. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2019;9(2 ):206-212. Available from: https://sid.ir/paper/243880/en

IEEE: Copy

Seyed Mohsen Ghoraishi Sharaki, “Revisiting Narayana's Approach to the Chung-Feller Theorem,” ADVANCES IN MATHEMATICAL MODELING, vol. 9, no. 2 , pp. 206–212, 2019, [Online]. Available: https://sid.ir/paper/243880/en

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