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When the Comaximal Graph of a Lattice is Toroidal
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In this paper we investigate the toroidality of the comaximal graphof a finite lattice.
Abstract
In this paper we investigate the toroidality of the comaximal graphof a finite lattice.
참고문헌 (11)
- M. Afkhami, "The comaximal graph of a lattice", Bull. Malays. Math. Sci. Soc., 37, pp.261~269 (2014)
- J. A. Bondy, "Graph Theory with Applications" (1976), American Elsevier
- A. Bouchet, "Orientable and nonorientable genus of the complete bipartite graph", J. Combin. Theory Ser. B, 24, pp.24~33 (1978)
- F. Harary, "A maximal toroidal graph which is not a triangulation", Math.Scand, 33, pp.108~112 (1973)
- A. L. Hlavacek, "9-vertex irreducible graphs for the torus", PhD thesis, pp.1997
- H. R. Maimani, "Comaximal graph of commu-tative rings", J. Algebra, 319, pp.1801~1808 (2008)
- J. B. Nation, "Notes on Lattice Theory, Cambridge studies in advanced mathematics, Vol. 60" (1998), Cambridge University Press
- G. Ringel, "Map Color Theorem" (1974), Springer-Verlag
- P. K. Sharma, "A note on graphical representation of rings", J. Algebra, 176, pp.124~127 (1995)
- H. J. Wang, "Graphs associated to co-maximal ideals of commutative rings", J. Algebra, 320, pp.2917~2933 (2008)
- D. Zeps, "Forbidden minors for projective plane are free-toroidal or non-toroidal", IUUK-CE-ITI series, ~ (2009)
관련 논문AI추천
On the Toroidal Comaximal Graph of LatticesAtossa Parsapour, Khadijeh Ahmad Javaheri경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제3호Poset Properties Determined by the Ideal - Based Zero-divisor GraphBalasubramanian Elavarasan, Kasi Porselvi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제2호A torsion graph determined by equivalence classes of torsion elements and associated prime idealsReza Nekooei, Zahra Pourshafiey대한수학회 · 대한수학회보2024 · 제61권 제3호On the annihilator graph of group ringsKazem Khashyarmanesh, Mojgan Afkhami, Sepideh Salehifar대한수학회 · 대한수학회보2017 · 제54권 제1호Rings whose associated extended zero-divisor graphs are complementedBrahim El Alaoui, Driss Bennis, Raja L’hamri대한수학회 · 대한수학회보2024 · 제61권 제3호Zero-divisor graphs with respect to primal and weakly primal idealsAhamd Yousefian Darani, Shahabaddin Ebrahimi Atani대한수학회 · 대한수학회지2009 · 제46권 제2호
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