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1.
Quasi m-Cayley circulants
Ademir Hujdurović, 2013, published scientific conference contribution

Abstract: A graph ▫$\Gamma$▫ is called a quasi ▫$m$▫-Cayley graph on a group ▫$G$▫ if there exists a vertex ▫$\infty \in V(\Gamma)$▫ and a subgroup ▫$G$▫ of the vertex stabilizer ▫$\text{Aut}(\Gamma)_\infty$▫ of the vertex ▫$\infty$▫ in the full automorphism group ▫$\text{Aut}(\Gamma)$▫ of ▫$\Gamma$▫, such that ▫$G$▫ acts semiregularly on ▫$V(\Gamma) \setminus \{\infty\}$▫ with ▫$m$▫ orbits. If the vertex ▫$\infty$▫ is adjacent to only one orbit of ▫$G$▫ on ▫$V(\Gamma) \setminus \{\infty\}$▫, then ▫$\Gamma$▫ is called a strongly quasi ▫$m$▫-Cayley graph on ▫$G$▫ .In this paper complete classifications of quasi 2-Cayley, quasi 3-Cayley and strongly quasi 4-Cayley connected circulants are given.
Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: arc-transitive, circulant, quasi m-Cayley graph
Published: 15.10.2013; Views: 1645; Downloads: 55
URL Full text (0,00 KB)

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3.
General preservers of quasi-commutativity on hermitian matrices
Bojan Kuzma, Gregor Dolinar, 2008, original scientific article

Abstract: Let ▫$H_n$▫ be the set of all ▫$n \times n$▫ hermitian matrices over ▫$\mathbb{C}$▫, ▫$n \ge 3$▫. It is said that ▫$A,B \in H_n$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ such that ▫$AB = \xi BA$▫ Bijective not necessarily linear maps on hermitian matrices which preserve quasi-commutativity in both directions are classified.
Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity
Published: 03.04.2017; Views: 693; Downloads: 103
URL Full text (0,00 KB)
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4.
General preservers of quasi-commutativity on self-adjoint operators
Bojan Kuzma, Gregor Dolinar, 2010, original scientific article

Abstract: Let ▫$H$▫ be a separable Hilbert space and▫ ${\mathcal B}_{sa}(H)▫$ the set of all bounded linear self-adjoint operators. We say that ▫$A, B \in {\mathcal B}_{sa}(H)$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ suchthat ▫$AB=\xi BA$▫. Bijective maps on ▫${\mathcal B}_{sa}(H)$▫ which preserve quasi-commutativity in both directions are classified.
Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: mathematics, linear algebra, general preserver, self-adjoint operator, quasi-commutativity
Published: 03.04.2017; Views: 705; Downloads: 42
URL Full text (0,00 KB)

5.
General preservers of quasi-commutativity
Bojan Kuzma, Gregor Dolinar, 2010, original scientific article

Abstract: Let ▫$M_n$▫ be the algebra of all ▫$n \times n$▫ matrices over ▫$\mathbb{C}$▫. We say that ▫$A, B \in M_n$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ such that ▫$AB = \xi BA$▫. In the paper we classify bijective not necessarily linear maps ▫$\Phi \colon M_n \to M_n$▫ which preserve quasi-commutativity in both directions.
Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity
Published: 03.04.2017; Views: 550; Downloads: 44
URL Full text (0,00 KB)

6.
On some properties of quasi-distance-balanced graphs
Ademir Hujdurović, 2018, original scientific article

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: distance-balanced graphs, quasi-distance-balanced graphs, bipartite graphs, bridge, razdaljno-uravnoteženi grafi, kvazi-razdaljno-uravnoteženi grafi, dvodelni grafi, most
Published: 07.02.2018; Views: 1346; Downloads: 70
URL Full text (0,00 KB)

7.
On the extendability of quasi-strongly regular graphs with diameter 2
Hermina Alajbegović, Almir Huskanović, Štefko Miklavič, Primož Šparl, 2018, original scientific article

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: regular graph, quasi-strongly regular graph, diameter 2, l-extendable
Published: 08.06.2018; Views: 428; Downloads: 68
URL Full text (0,00 KB)

8.
Quasi-semiregular automorphisms of cubic and tetravalent arc-transitive graphs
István Kovács, Yan-Quan Feng, Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2018, unpublished conference contribution

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: quasi-semiregular automorphism, cubic graph, tetravalent graph, arc-transitive graph
Published: 06.12.2018; Views: 275; Downloads: 47
URL Full text (0,00 KB)

9.
Quasi-semiregular automorphisms of cubic and tetravalent arc-transitive graphs
Yan-Quan Feng, Ademir Hujdurović, István Kovács, Klavdija Kutnar, Dragan Marušič, 2019, original scientific article

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: cubic graph, tetravalent graph, arc-transitive, quasi-semiregular automorphism
Published: 14.03.2019; Views: 194; Downloads: 84
URL Full text (0,00 KB)

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