Graceful labeling of dihedral cayley graphs

Author: mtbm

August undefined, 2024

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 · Graceful Labeling of Graphs. Cindy Aossey and Dee Crescitelli started the session with a notice and wonder about two graphs. Our group’s noticings included: In …

Directed strongly regular Cayley graphs on dihedral groups

WebNov 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 … 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 … craigslist list albany ny

Cayley Graphs Defined by Systems of Equations

http://www.m-hikari.com/ijma/ijma-2015/ijma-17-20-2015/14thamizharasiIJMA17-20-2015-94.pdf WebCayley graphs over non-Abelian groups. Key Words: Cayley graphs, Hamiltonian cycles and paths, complete graph, orbit and centralizer of an element in a group, centre of a group. AMS(2010): 05C25 §1. Introduction Let Gbe a ﬁnite group and Sbe a non-empty subset of G. The graph Cay(G,S) is deﬁned http://fs.unm.edu/IJMC/AStudyOnCayleyGraphsOverDihedralGroups.pdf diy front porch decor ideas

Antimagic and magic labelings in Cayley digraphs - ResearchGate

Normal Cayley digraphs of dihedral groups with CI-property

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 ... 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 … diy front porch enclosureWebAug 1, 2005 · AbstractA Cayley map is a Cayley graph embedded in an orientable surface such that the local rotations at every vertex are identical. In this paper, balanced regular Cayley maps for cyclic groups, dihedral groups, … diy front porch kits

"WebDih 4 Cayley Graph; generators a, b; prefix.svg. The same file with right action (which is more usual for Cayley graphs). One of the Cayley graphs of the dihedral group Dih 4. … " - Graceful labeling of dihedral cayley graphs

Graceful labeling of dihedral cayley graphs

Labelings in Cayley digraphs - ScienceDirect

WebNon-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 …

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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 ... 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- …

WebA Smarandache-Cayley graph of Grespect to a pair {S,T} of non-empty subsets S⊂ G, T⊂ G\Sis the graph with vertex set Gand edge set consisting of pairs (x,y) such that s·x= t·y, where s∈ Sand t∈ T. Particularly, let T= {1G}. Then such a Smarandache-Cayley graph is the usual Cayley graph Cay(G,S), whose vertex set is Gand WebIn this paper, we study perfect state transfer on Cayley graphs over dihedral groups. Using the representations of the dihedral group , we present some necessary and sufficient …

WebSep 23, 2024 · So D ∞ = s, t ∣ s 2 = t 2 = e . The Cayley graph is the real line: place vertices at integer points, and place alternate labels on edges s and t. Note that I use the … 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 …

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WebOct 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 … craigslist list cars for saleWebFeb 25, 2024 · Axioms 2024, 11, 100 2 of 14 Theorem 1. The graph BGn is a Cayley graph on some group G = hf, Aiof dihedral type with f: (p) $[p] 2Aut(BGn) and A uniform if and only if the function system Fn = ffi ji = 2,. . .,ngis Cayley graphic of dihedral type (see Deﬁnition 5) in R. Cayley graphs are widely studied together with Hamiltonian graphs … diy front porch halloween decoration ideasWebDec 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 … craigslist list dayton ohioWebCayley 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 ... diy front porch planter ideasWebA Smarandache-Cayley graph of Grespect to a pair {S,T} of non-empty subsets S⊂ G, T⊂ G\Sis the graph with vertex set Gand edge set consisting of pairs (x,y) such that s·x= t·y, … diy front porch makeoverWebApr 9, 2015 · If our Cayley graph edges are defined (as in the Wolfram article) by left multiplication, then right multiplication will give graph isomorphisms. However, if our Cayley graph edges are defined (as by Derek) by right multiplication, then left multiplication will give graph isomorphisms. diy front porch flooring ideasIn graph theory, a graceful labeling of a graph with m edges is a labeling of its vertices with some subset of the integers from 0 to m inclusive, such that no two vertices share a label, and each edge is uniquely identified by the absolute difference between its endpoints, such that this magnitude lies between 1 and m inclusive. A graph which admits a graceful labeling is called a graceful graph. craigslist list everett washington