Results 51 to 60 of about 1,354 (80)
On the Number of Hamiltonian Groups [PDF]
, 2005 Finite hamiltonian groups are counted. The sequence of numbers of all groups of order $n$ all whose subgroups are normal and the sequence of numbers of all groups of order less or equal to $n$ all whose subgroups are normal are presented.Comment: 6 pages,
Horvat, Boris +2 more
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On the Genus of the Idempotent Graph of a Finite Commutative Ring
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a finite commutative ring with identity. The idempotent graph of R is the simple undirected graph I(R) with vertex set, the set of all nontrivial idempotents of R and two distinct vertices x and y are adjacent if and only if xy = 0.
Belsi G. Gold, Kavitha S., Selvakumar K.
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Pure simplicial complexes and well-covered graphs [PDF]
, 2012 A graph $G$ is called well-covered if all maximal independent sets of vertices have the same cardinality. A simplicial complex $\Delta$ is called pure if all of its facets have the same cardinality.
Zaare-Nahandi, Rashid
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On Order Prime Divisor Graphs of Finite Groups
Discussiones Mathematicae - General Algebra and Applications, 2021 The order prime divisor graph 𝒫𝒟(G) of a finite group G is a simple graph whose vertex set is G and two vertices a, b ∈ G are adjacent if and only if either ab = e or o(ab) is some prime number, where e is the identity element of the group G and o(x ...
Sen Mridul K. +2 more
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The edge-regular complete maps
Open Mathematics, 2020 A map is called edge-regular if it is edge-transitive but not arc-transitive. In this paper, we show that a complete graph Kn{K}_{n} has an orientable edge-regular embedding if and only if n=pd>3n={p}^{d}\gt 3 with p an odd prime such that pd≡3{p}^{d ...
Yu Xue, Lou Ben Gong
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Extended Annihilating-Ideal Graph of a Commutative Ring
Discussiones Mathematicae - General Algebra and Applications, 2022 Let R be a commutative ring with identity. An ideal I of a ring R is called an annihilating-ideal if there exists a nonzero ideal J of R such that IJ = (0) and we use the notation 𝔸(R) for the set of all annihilating-ideals of R.
Nithya S., Elavarasi G.
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Equivalent Binary Quadratic Form and the Extended Modular Group [PDF]
, 2012 Extended modular group $\bar{\Pi}=$, where $ R:z\rightarrow -\bar{z}, \sim T:z\rightarrow\frac{-1}{z},\simU:z\rightarrow\frac{-1}{z +1} $, has been used to study some properties of the binary quadratic forms whose base points lie in the point set ...
malik, M. Aslam, Riaz, Muhammad
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Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce a new family of circulants GA(t, k), called Generalized Andrásfai graphs, where t, k ≥ 2 are integers. We study various parameters like diameter, girth, domination number etc. of GA(t, k).
Biswas Sucharita +2 more
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The non-commuting graph of a non-central hypergroup
Open Mathematics, 2019 The aim of this paper is to construct and study the properties of a certain graph associated with a non-central hypergroup, i.e. a hypergroup having non-commutative the associated fundamental group.
Iranmanesh Mahdiyeh +2 more
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Cyclic Partitions of Complete and Almost Complete Uniform Hypergraphs
Discussiones Mathematicae Graph Theory, 2022 We consider cyclic partitions of the complete k-uniform hypergraph on a finite set V, minus a set of s edges, s ≥ 0. An s-almost t-complementary k-hypergraph is a k-uniform hypergraph with vertex set V and edge set E for which there exists a permutation ...
Dilbarjot, Gosselin Shonda Dueck
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