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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 4 | Year 2018 | Article Id. IJMTT-V53P533 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P533

2-Colored and 3-Colored Diagrams of Posets in Cover-incomparability Graphs


Baiju Sukumaran
Abstract

The notion of forbidden preserving 2-colored and 3-colored diagrams is introduced here as part of the the study of cover-incomparability graphs of posets. Posets whose C-I graphs are chordal, which are characterized here using 2-colored and 3-colored diagrams.

Keywords
cover-incomparability graph, cograph, poset.
References

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[10] H. M. Mulder, Transit functions on graphs (and posets). In: Convexity in Discrete Structures (M. Changat, S. Klavžar, H.M. Mulder, A. Vijayakumar, eds.), Lecture Notes Ser. 5, Ramanujan Math. Soc. (2008) 117-130.
[11] B. Brešar, M. Changat, Tanja Glorance, Baiju Sukumaran, Cographs which are cover-incomparability graphs of posets, Order DOI 10.1007/s11083-014-9324-X.
[12] B. Brešar, M. Changat, Tanja Glorance,M. Kov_se, Baiju Sukumaran, Cover-incomparability graphs and 2-colored posets, Taiwanese Journal of Mathematics, DOI: 10.11650/tjm.18.2014.3697.

Citation :

Baiju Sukumaran, "2-Colored and 3-Colored Diagrams of Posets in Cover-incomparability Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 4, pp. 267-269, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P533

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