Folded johnson graph
WebK. Metsch, On the characterization of the folded Johnson graphs and the folded halved cubes by their intersection array, Europ. J. Combinatorics, Vol. 18 (1997) pp. 65–74. … WebOn the Characterization of the Folded Johnson Graphs and the Folded Halved Cubes by their Intersection Arrays K LAUS M ETSCH We show that the following distance-regular …
Folded johnson graph
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WebNov 1, 1997 · Abstract. It is known that the folded Johnson graphs J (2 m, m) with m ≥ 16 are uniquely determined as distance regular graphs by their intersection array. We show … WebJohnson Solids. An interesting problem is to find the set of all convex polyhedra with regular faces. This includes the Platonic solids, the Archimedean solids, the prisms and anti …
WebJan 1, 1997 · We show that the following distance-regular graphs are uniquely determined by their intersection arrays: the folded Johnson Graphs of diameterd 8and the folded halved cubes of diameterd 8. WebNov 1, 1997 · Characterization of the folded Johnson graphs of small diameter by their intersection arrays Author: Klaus Metsch View Profile Authors Info & Claims European …
WebJan 1, 1997 · On the Characterization of the Folded Johnson Graphs and the Folded Halved Cubes by their Intersection Arrays. Klaus Metsch. Add to Mendeley. … WebMar 24, 2024 · The Johnson graph has vertices given by the k -subsets of , with two vertices connected iff their intersection has size . Special classes are summarized in the table below. Alspach (2013) proved that all …
WebJul 28, 2008 · It is unknown whether there are other such graphs. Let us now briefly survey the graphs for some of the graphs mentioned above. If is an even cycle or a Hamming cube, then is just an isolated vertex. If is the antipodal quotient of a Hamming cube of even diameter, then is the folded Johnson graph .
WebJul 19, 2024 · The part that used convolutions in the first AlphaFold has been dropped in Alpha Fold 2, replaced by a whole slew of attention mechanisms. Use of attention runs throughout AlphaFold 2. The first ... psychogenic stuttering treatmentWebDec 2, 2024 · Then \(\Gamma \) is either a clique, or a Johnson graph J(n, k), or the quotient of the Johnson graph J(2k, k) obtained by identifying a k-set with the image of its complement under the identity or an involution in Sym(2k) with at least 10 fixed points (i.e., a folded Johnson graph), or a Grassmann graph \(J_q(n,D)\) over a finite field ... psychogenic stuttering symptomsThe Johnson graph $${\displaystyle J(n,k)}$$ is closely related to the Johnson scheme, an association scheme in which each pair of k-element sets is associated with a number, half the size of the symmetric difference of the two sets. The Johnson graph has an edge for every pair of sets at distance one in the … See more Johnson graphs are a special class of undirected graphs defined from systems of sets. The vertices of the Johnson graph $${\displaystyle J(n,k)}$$ are the $${\displaystyle k}$$-element subsets of an See more • $${\displaystyle J(n,1)}$$ is the complete graph Kn. • $${\displaystyle J(4,2)}$$ is the octahedral graph. • $${\displaystyle J(5,2)}$$ is the complement of the Petersen graph, … See more The vertex-expansion properties of Johnson graphs, as well as the structure of the corresponding extremal sets of vertices of a given … See more • Grassmann graph See more There is a distance-transitive subgroup of $${\displaystyle \operatorname {Aut} (J(n,k))}$$ isomorphic to See more • The characteristic polynomial of $${\displaystyle J(n,k)}$$ is given by $${\displaystyle \phi (x):=\prod _{j=0}^{\operatorname {diam} (J(n,k))}\left(x-A_{n,k}(j)\right)^{{\binom {n}{j}}-{\binom {n}{j-1}}}.}$$ where • The … See more • Weisstein, Eric W. "Johnson Graph". MathWorld. • Brouwer, Andries E. "Johnson graphs". See more psychogenic surgeryWebJohnson graphs and haly ed cubes 67 submatrix of the adjacency matrix A of G (x). It is well-known that, since A 9 and A are symmetric, the smallest eigenvalue of A 9 is not smaller than the smallest eigenvalue of A . This will give strong restrictions. C OROLLARY 2. 2. For e y ery y ertex x , the eigeny alues Θ of the induced subgraphs of G (x) satisfy … psychogenic thirstWebSep 3, 2024 · The construction used to establish the lower bound is made by using the strongly regular Schlafli graph for one of the colors, and then by partitioning its complement into two isomorphic graphs. The coloring has the property that each edge is on exactly one monochromatic K 3 , hence the vertex sets of these K 3 's form a Steiner triple system. psychogenic stuttering meaningWebFigure 3. The graphs with six vertices generating E¿. (2.i is graph number i in Table 2; G, is the notation of [18].) G[2-G\\7 are the minimal forbidden line graphs with six vertices. - "Exceptional graphs with smallest eigenvalue -2 and related problems" psychogenic tinnitusWebMar 3, 2024 · The chart shows how effective the Johnson & Johnson vaccine is over time. This vaccine was just given FDA clearance, and unlike the Pfizer and Moderna vaccines … psychogenic swallowing disorder