[PDF] Top 20 On The Quotient Graph in The Cayley Graphs of Solvable Groups
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On The Quotient Graph in The Cayley Graphs of Solvable Groups
... [1] John B. Fraleig;, A First Course In Abstract Algebra; Narosa publishing House;1986. [2] Joseph A. Gallian: Contemporary Abstract Algebra; Narosa publishing House;1999(reprint). [3] Cai Heng Li;On Cayley ... See full document
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Geometric group theory and hyperbolic geometry: Recent contributions from Indian mathematicians
... Geometric group theory (GGT) is the study of large scale properties of metric spaces, most impor- tantly the Cayley graphs of finitely generated groups. This came into existence by the seminal work ... See full document
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Classifying families of character degree graphs of solvable groups
... complete graph to the other in a one-to-one ...a graph that satisfies P´ alfy’s condition and is at most diameter ...the graph can or cannot occur as the prime character degree graph of a ... See full document
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Finite BCI-groups are solvable
... bi-Cayley graph BCay(G, S) of G with respect to S is an undirected graph with vertex set G × {1, 2} and edge set {{(x, 1), (sx, 2)} | x ∈ G, s ∈ S ...bi-Cayley graph BCay(G, S) is ... See full document
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On covers of graphs by Cayley graphs
... group-theoretic quotient of G, ...covered graph is a Cayley graph of a quotient of the group of ...a Cayley graph G and a family K = K(l, k) of l − 1-locally-G ... See full document
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Subsets of Cayley Graphs that Induce Many Edges
... in Cayley graphs on arbitrary finite Abelian groups that implies the conjecture and can be considered as a “highly asymmetric Balog–Szemerédi–Gowers theorem” when it ...the Cayley graph ... See full document
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On the Eigenvalues of Rhomboidal C4C8(R)[n; n] Nanotori
... The Cayley graph of with respect to , ( , ), is a graph with vertex set , where two vertices and are adjacent if ∈ ...of Cayley graphs was introduced by Cayley ...chemical ... See full document
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On the spectrum of Cayley graphs via character table
... The aim of this section is to compute the spectrum of Cayley graphs on finite groups via their character tables. First of all, we recall the concept of character table. For some vector space V, let ... See full document
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Labelled Cayley graphs and minimal automata
... The Cayley graph Cay( G, S ) of G relative to S is defined as the graph with vertex set G and edge set E ( S ) consisting of all ordered pairs ( x, y ) such that xs = y for some s ∈ S .... ... See full document
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Normal edge-transitive and 12−arc−transitive Cayley graphs on non-abelian groups of order 2pq, p>q are odd primes
... edge-transitive Cayley graphs on non-abelian groups of order 4p, where p is a prime number, ...−arc-transitive Cayley graph of groups of order ...connected Cayley ... See full document
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Some graph parameters on the composite order Cayley graph
... order Cayley graph is similar to the composite order Cayley graph, but note that these two graphs are completely different as the set S ...a graph, that can not achieve by ... See full document
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Some Domination Parameters of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs
... in graphs has been an extensively research branch of graph ...human groups or animal ...telecommunication. Cayley graphs are excellent models for interconnection networks, investigated ... See full document
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Cayley graphs of direct products and of 0-direct union of semigroups
... are Cayley graphs of certain algebraic structures have a long ...the Cayley graphs of ...the Cayley graphs of semigroups have also been considered by various authors, see, for ... See full document
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Hard Metrics from Cayley Graphs of Abelian Groups
... finite metric spaces may be viewed as a negative answer to this question for some special important class of metrics. E. g., Arora et al. [2] (improving on Chawla et al. [5]) show this for Negative Type metrics, Rao [14] ... See full document
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On Planar Cayley graphs and Kleinian groups
... Part of the motivation behind this paper was to understand which planar surfaces admit an action by an infinite group. Proposition 1.4, and the discussion in Section 9 sheds some light into this question. One way to ... See full document
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On groups with specified quotient power graphs
... a graph to a group for the purpose of investigating the algebraic structure using properties of the associated graph (see for example [2, 3, 11, 16, 15, ...of graphs related to groups as well ... See full document
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A Study on Cayley Graphs of Factorizable Inverse Semi groups
... The Cayley graph of groups was introduced by Arthur Cayley in 1878 and the Cayley graphs of groups have received serious attention since ...The Cayley graphs ... See full document
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Iterative Construction of Cayley Expander Graphs
... our groups have the commutator property: ev- ery element is a ...such groups are expanding even with highly correlated tuples of ...these groups converge to stationarity on all of them essentially as ... See full document
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Large butterfly Cayley graphs and digraphs
... Thus the graph has degree 2t + r − 3 +( d − k mod 2 ) = d. As in the directed case, it has diameter r + 1 = k. Every element is the product of k − 1 shift and add operations and possibly a single cyclic shift. On ... See full document
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Some Properties of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs
... simple graphs with their vertex sets as { } and { } ...two graphs denoted by is defined to be a graph with vertex set , where is the Cartesian product of the sets and such that any two distinct ... See full document
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