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Online Published: 26 Nov 2018
 


ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE

Dogondaji, A. M., Ibrahim, A. A. And Magami, M. S..


Abstract
A permutation pattern is a sub-permutation of a longer permutation. The study of permutation pattern came from enumerative combinations and focused on finding formulas for the number of permutation which avoids a fixed and typically short permutation. The permutation π, written as a word in one line notation is said to contain the permutation σ, if there exists a subsequence of entries of σ that as the same relative order as π , and in this case σ is said to be a pattern of π , written as σ . Otherwise π is said to avoid the permutation σ. This paper investigated some algebraic theoretical properties of Aunu permutations pattern of the (123) - avoiding class in relation to lattices and graph structure. The properties obtained were identified using the direct product of two sets of Aunu numbers of 5-sample elements. The paper further established some graph structural models of different Eulerian circuits using the adjacency matrix of the (123) - avoiding class of these special numbers.

Key words: Aunu numbers, Permutation avoiding, partial order, natural ordering, direct product, lattices and graphs.


 
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How to Cite this Article
Pubmed Style

Dogondaji, M. A, Ibrahim , Magami AAA, S. M. ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE. Equijost. 2015; 3(1): 75-79.

Web Style

Dogondaji, M. A, Ibrahim , Magami AAA, S. M. ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE. https://www.equijost.com/?mno=302643641 [Access: June 27, 2026].

AMA (American Medical Association) Style

Dogondaji, M. A, Ibrahim , Magami AAA, S. M. ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE. Equijost. 2015; 3(1): 75-79.


Vancouver/ICMJE Style

Dogondaji, M. A, Ibrahim , Magami AAA, S. M. ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE. Equijost. (2015), [cited June 27, 2026]; 3(1): 75-79.


Harvard Style

Dogondaji, M., . A., Ibrahim, ., Magami, . A. A. A. & S., . M. (2015) ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE. Equijost, 3 (1), 75-79.


Turabian Style

Dogondaji, A. M., Ibrahim, A. A. And Magami, and M. S.. 2015. ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE. Equity Journal of Science and Technology, 3 (1), 75-79.


Chicago Style

Dogondaji, A. M., Ibrahim, A. A. And Magami, and M. S.. "ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE." Equity Journal of Science and Technology 3 (2015), 75-79.


MLA (The Modern Language Association) Style

Dogondaji, A. M., Ibrahim, A. A. And Magami, and M. S.. "ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE." Equity Journal of Science and Technology 3.1 (2015), 75-79. Print.


APA (American Psychological Association) Style

Dogondaji, M., . A., Ibrahim, ., Magami, . A. A. A. & S., . M. (2015) ALGEBRAIC THEORTICAL PROPERTIES OF (123) – AVOIDING CLASS OF AUNU NUMBERS: APPLICATION IN LATTICES AND GRAPH STRUCTURE. Equity Journal of Science and Technology, 3 (1), 75-79.




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