Graceful labeling of dihedral cayley graphs

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August undefined, 2024

Webthe graceful labeling concept on digraphs and established some relations between … WebCayley graphs of dihedral groups [10]. This work motivated us to study non-normal one-regular tetravalent Cayley graphs of dihedral groups. In this paper, we shall classify non-normalone-regularCayley graphsofD2n of valency 4. Now we state the main result of this paper. Theorem 1. Let X = Cay(G,S) be a one-regular and4-valent Cayley graph for ...

A graceful labelling on a caterpillar Rosa [26] established …

Webconditions. They also obtained new super graceful graphs by attaching k pendent edges to a vertex of a super graceful graphs. In this thesis, we concentrate our work on construction and enumeration of new labelings from the existing labeling of graphs and digraphs. Our study includes edge-graceful labeling, directed edge-graceful labeling, arc ... WebThroughout this paper graphs are assumed to be ﬁnite and simple. A connected graph Γ of even order isn-extendable, if it contains a matching of sizenand if every such matching is contained in a perfect matching of Γ. The concept ofn-extendable graphs was introduced by Plummer [8] in 1980. how do you say human being in french

Graceful Labeling -- from Wolfram MathWorld

WebJan 1, 2024 · prime labeling of Cayley graph depending upon the generating ... dihedral group of order 16 and let ... A function f is called a graceful labeling of a graph G with q … WebJan 1, 2013 · A Cayley digraph is a digraph constructed from a group Γ and a generating subset S of Γ. It is denoted by Cay D (Γ,S). In this paper, we prove for any finite group Γ … http://fs.unm.edu/IJMC/AStudyOnCayleyGraphsOfNonAbelianGroups.pdf how do you say human resources in spanish

Normal Cayley digraphs of dihedral groups with CI-property

Cayley graphs of dihedral groups having perfect edge state …

http://fs.unm.edu/IJMC/AStudyOnCayleyGraphsOverDihedralGroups.pdf http://www.math.clemson.edu/~macaule/classes/f21_math4120/slides/math4120_lecture-2-02_h.pdf phone number to check food stamp balanceWebCayley Graphs Abstract There are frequent occasions for which graphs with a lot of sym-metry are required. One such family of graphs is constructed using ... Example 0.8 The dihedral group D 4 is the group of rigid-body motions on the unit square. Let rdenote a 90 clockwise rotation and let sdenote a re ection through a vertical axis. Then the how do you say human in french

"Webthis is a Cayley graph, we label each of these edges with the generator that created that edge: for this graph, because there’s only one generator this is pretty simple (we just label every edge with a 1.) Examples. The integers Z with the generating set f2;3ghave the following Cayley graph:-4 -2 0 2 4 6-5 -3 -1 1 3 5 =2 =3 " - Graceful labeling of dihedral cayley graphs

Graceful labeling of dihedral cayley graphs

Antimagic and magic labelings in Cayley digraphs - ResearchGate

Webgroups. We show that for any m E {I, 2, 3}, the dihedral group D2k is m-DCI if and only if D2k is m-CI if and only if 2 f k. § 1. Preliminaries Let G be a finite group and 5 a subset of G with 1 1:. 5. We use r = Cay( G; 5) to denote the Cayley digraph of G with respect to 5, defined to be the directed graph WebCayley graph on the non-abelian non-dihedral group of order 12. The Heawood graph and its bipartite complement are distance-regular Cayley graphs on the dihedral group of order 14, and as it was pointed out in [10], the Shrikhande graph can be represented as a Cayley graph on three non-isomorphic non-abelian groups of order 16, as well as a ...

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WebJun 15, 2024 · In this paper, we reveal the relations between perfect state transfer and perfect edge state transfer on Cayley graphs. Furthermore, we present necessary and … WebIn this paper one of such labeling technique, namely Edge vertex prime labeling is applied on the well known algebraic structured Cayley graphs. It was introduced by Arthur Cayley in 1878 to illustrate the concept of abstract groups. Related Papers Arxiv preprint arXiv:1012.0537 Rough ends of infinite primitive groups 2010 • Simon Smith

WebMay 27, 2024 · A Cayley (di)graph of a group with respect to is said to be normal if the right regular representation of is normal in the automorphism group of , and is called a CI- (di)graph if there is such that , whenever for a Cayley (di)graph . A finite group is called a DCI-group or a NDCI-group if all Cayley digraphs or normal Cayley digraphs of are CI ... Web35 rows · Mar 24, 2024 · A graceful labeling (or graceful numbering) is …

WebMar 24, 2024 · An undirected Cayley graph of a particular generating set of the alternating group is sometimes known as a alternating group graph . The Cayley graph of the cyclic group is the cycle graph , and of the … WebThe Cayley graph X(G,S) is called a CI-graphof G if, for any Cayley graph X(G,T), whenever X(G,S) ˙ X(G,T) we have σ(S) = T for some σ∈ Aut(G). A group G is called a CI-groupif all Cayley graphs on G are CI-graphs. A long-standing open question about Cayley graphs is as follows: which Cayley graphs for a group G are CI-graphs?

WebA method for relaxed graceful labeling of P2n graphs is presented together with an algorithm designed for labeling these graphs. Graceful labeling is achieved by relaxing the range to 2m and ...

WebDec 23, 2024 · The Cayley graphs of crystallographic groups G_ {p}^ {p}, constructed on the minimal number of generators, are discussed. Some theorems on the existence of … how do you say hump day in frenchhttp://fs.unm.edu/IJMC/AStudyOnCayleyGraphsOverDihedralGroups.pdf how do you say hundred in spanishWebNon-trivial distance-regular Cayley graphs on non-abelian groups seem to be more difﬁcult to ﬁnd. The smallest such graph is the graph of the icosahedron, which can be … phone number to check my state pensionhttp://www1.cs.columbia.edu/~cs6204/files/Lec6-CayleyGraphs.pdf phone number to check on atf form 4http://www.m-hikari.com/ijma/ijma-2015/ijma-17-20-2015/14thamizharasiIJMA17-20-2015-94.pdf how do you say hummus in spanishWebNov 1, 2024 · A cubic graph Γ is called G-symmetric if a group G of automorphisms of Γ acts transitively on the arcs of Γ, and G-basic if it is G-symmetric and G has no non-trivial normal subgroups with more than two orbits on the vertex set of Γ. We say the graph Γ is basic if it is G-basic for all arc-transitive subgroups G of Aut (Γ).All basic symmetric cubic … how do you say hunter in germanWebOct 24, 2024 · The finite dihedral group generated by one rotation and one flip is the simplest case of the non-Abelian group. Cayley graphs are diagrammatic counterparts … how do you say hunger in spanish