The genus of graphs associated with vector spaces
2019 ◽
Vol 19
(05)
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pp. 2050086
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Keyword(s):
Let [Formula: see text] be a k-dimensional vector space over a finite field [Formula: see text] with a basis [Formula: see text]. The nonzero component graph of [Formula: see text], denoted by [Formula: see text], is a simple undirected graph with vertex set as nonzero vectors of [Formula: see text] such that there is an edge between two distinct vertices [Formula: see text] if and only if there exists at least one [Formula: see text] along which both [Formula: see text] and [Formula: see text] have nonzero scalars. In this paper, we find the vertex connectivity and girth of [Formula: see text]. We also characterize all vector spaces [Formula: see text] for which [Formula: see text] has genus either 0 or 1 or 2.
2017 ◽
Vol 16
(01)
◽
pp. 1750007
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2009 ◽
Vol DMTCS Proceedings vol. AK,...
(Proceedings)
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Keyword(s):
2016 ◽
Vol 44
(9)
◽
pp. 3918-3926
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Keyword(s):
2018 ◽
Vol 17
(10)
◽
pp. 1850189
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Keyword(s):
Keyword(s):
2011 ◽
Vol 85
(1)
◽
pp. 19-25
Keyword(s):
1985 ◽
Vol 98
◽
pp. 139-156
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