Year 2020, Volume 17 , Issue 1, Pages 11 - 40 2020-05-01

Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal

Atena TAHMASBPOUR MEİKOLA [1]


In this paper, at first we introduce the concepts of filter- annihilator, LI- ideal- annihilator, right- filter- annihilator, left- filter- annihilator, right- LI- ideal- annihilator, and left- LI- ideal- annihilator. Then by using of these concepts, are constructed six new types of graphs in a lattice implication algebra(L,˅,˄,´,→,0,I) which are denoted by Ф_F (L),Ф_A (L),∆_F (L),Σ_F (L),∆_A (L), and Σ_A (L), respectively. Then basic properties of graph theory such as connectivity, regularity, and planarity on the structure of these graphs are investigated. Secondly, by utilizing of binary operations ⊕ and ⊗ we construct graphs Ψ_F (L) and Ψ_A (L), respectively. Thirdly, via the binary operations ⊕ and ⊗, concept of annihilator we construct graphs Ω_F (L) and Ω_A (L), respectively. Finally, by utilizing of binary operations ˄ and ˅, we construct graphs Υ_F (L) and Υ_A (L), respectively, some their interesting properties are presented.
Lattice implication algebra, Diameter, Chromatic number, Euler graph
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Primary Language en
Subjects Engineering
Published Date bahar
Journal Section Articles
Authors

Author: Atena TAHMASBPOUR MEİKOLA (Primary Author)
Institution: department of mathematics, azad islamic university, central tehran branch , iran
Country: Iran


Thanks The author is grateful to the reviewers for many suggestions which improved the presentation of the paper.
Dates

Publication Date : May 1, 2020

Bibtex @research article { cankujse689896, journal = {Cankaya University Journal of Science and Engineering}, issn = {1309-6788}, eissn = {2564-7954}, address = {}, publisher = {Cankaya University}, year = {2020}, volume = {17}, pages = {11 - 40}, doi = {}, title = {Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal}, key = {cite}, author = {Tahmasbpour Mei̇kola, Atena} }
APA Tahmasbpour Mei̇kola, A . (2020). Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal . Cankaya University Journal of Science and Engineering , 17 (1) , 11-40 . Retrieved from https://dergipark.org.tr/en/pub/cankujse/issue/54098/689896
MLA Tahmasbpour Mei̇kola, A . "Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal" . Cankaya University Journal of Science and Engineering 17 (2020 ): 11-40 <https://dergipark.org.tr/en/pub/cankujse/issue/54098/689896>
Chicago Tahmasbpour Mei̇kola, A . "Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal". Cankaya University Journal of Science and Engineering 17 (2020 ): 11-40
RIS TY - JOUR T1 - Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal AU - Atena Tahmasbpour Mei̇kola Y1 - 2020 PY - 2020 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - 11 EP - 40 VL - 17 IS - 1 SN - 1309-6788-2564-7954 M3 - UR - Y2 - 2020 ER -
EndNote %0 Çankaya Üniversitesi Bilim ve Mühendislik Dergisi Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal %A Atena Tahmasbpour Mei̇kola %T Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal %D 2020 %J Cankaya University Journal of Science and Engineering %P 1309-6788-2564-7954 %V 17 %N 1 %R %U
ISNAD Tahmasbpour Mei̇kola, Atena . "Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal". Cankaya University Journal of Science and Engineering 17 / 1 (May 2020): 11-40 .
AMA Tahmasbpour Mei̇kola A . Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal. Cankaya University Journal of Science and Engineering. 2020; 17(1): 11-40.
Vancouver Tahmasbpour Mei̇kola A . Twelve Kinds of Graphs of Lattice Implication Algebras Based on Filter and LI- ideal. Cankaya University Journal of Science and Engineering. 2020; 17(1): 11-40.