Automorphisms of the total graph over upper triangular matrices
2019 ◽
Vol 19
(08)
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pp. 2050161
Keyword(s):
Let [Formula: see text] be a finite field, [Formula: see text] the ring of all [Formula: see text] upper triangular matrices over [Formula: see text], [Formula: see text] the set of all zero-divisors of [Formula: see text], i.e. [Formula: see text] consists of all [Formula: see text] upper triangular singular matrices over [Formula: see text]. The total graph of [Formula: see text], denoted by [Formula: see text], is a graph with all elements of [Formula: see text] as vertices, and two distinct vertices [Formula: see text] are adjacent if and only if [Formula: see text]. In this paper, we determine all automorphisms of the total graph [Formula: see text] of [Formula: see text].
Keyword(s):
2018 ◽
Vol 544
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pp. 223-253
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2007 ◽
Vol 17
(01)
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pp. 187-201
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2006 ◽
Vol 54
(5)
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pp. 369-377
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Keyword(s):
1996 ◽
Vol 29
(4)
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pp. 279-281
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2010 ◽
Vol 7
(4)
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pp. 540-544
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