COMPLEMENT OF THE ZERO DIVISOR GRAPH OF A LATTICE
2013 ◽
Vol 89
(2)
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pp. 177-190
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AbstractIn this paper, we determine when $\mathop{({\Gamma }_{I} (L))}\nolimits ^{c} $, the complement of the zero divisor graph ${\Gamma }_{I} (L)$ with respect to a semiprime ideal $I$ of a lattice $L$, is connected and also determine its diameter, radius, centre and girth. Further, a form of Beck’s conjecture is proved for ${\Gamma }_{I} (L)$ when $\omega (\mathop{({\Gamma }_{I} (L))}\nolimits ^{c} )\lt \infty $.
2020 ◽
Vol 9
(12)
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pp. 10591-10612
2008 ◽
Vol 308
(22)
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pp. 5122-5135
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2011 ◽
Vol 10
(04)
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pp. 665-674
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2015 ◽
Vol 14
(06)
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pp. 1550079
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Keyword(s):
2019 ◽
Vol 14
(1)
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pp. 341-350