of graph theory, the Hoffman–Singleton graph is a 7-regular undirected graph with 50 vertices and 175 edges. It is the unique strongly regular graph with...

two in the group of automorphisms of the Hoffman–Singleton graph. Take the M22 graph, a strongly regular graph srg(77,16,0,4) and augment it with 22 new...

graph. Moore graphs were named by Hoffman & Singleton (1960) after Edward F. Moore, who posed the question of describing and classifying these graphs...

of graphs. Hoffman and Robert Singleton constructed the Hoffman–Singleton graph, which is the unique Moore graph of degree 7 and diameter 2. Hoffman died...

graph on GQ(2, 4). The Hoffman–Singleton graph is an srg(50, 7, 0, 1). The Gewirtz graph is an srg(56, 10, 0, 2). The M22 graph aka the Mesner graph is...

bound; for 1 < k and 2 < d, only the Petersen graph, the Hoffman-Singleton graph, and possibly graphs (not yet proven to exist) of diameter k = 2 and...

6-cycles. The Coxeter graph may be derived from the Hoffman-Singleton graph. Take any vertex v in the Hoffman-Singleton graph. There is an independent...

graph Cameron graph Petersen graph Hall–Janko graph Hoffman–Singleton graph Higman–Sims graph Paley graph of order 13 Shrikhande graph Schläfli graph...

Petersen graph (degree three), and the Hoffman–Singleton graph (degree seven). Only one more of these Moore graphs can exist, with degree 57. For all other...

It is a subgraph of the Hoffman–Singleton graph. Brouwer, A. E.; Cohen, A. M.; Neumaier, A. (1989), Distance-regular graphs, Springer-Verlag, Theorem...

graph also occurs many times as an induced subgraph of the Hoffman–Singleton graph. Each of these instances is in fact an eigenvector of the Hoffman-Singleton...

Robertson graph, 19 vertices (7,5)-cage: The Hoffman–Singleton graph, 50 vertices. When r − 1 is a prime power, the (r,6) cages are the incidence graphs of projective...

Hoffman–Singleton graph. Despite additional research on the properties such a graph must have, it is not known whether there are more of these graphs...

(2012). The Hoffman–Singleton graph. Graph found by Sampels (1997). Graph found by Dinneen & Hafner (1994). Graphs found by Storwick (1970). Graph found by...

Nauru graph and the Desargues graph are integral. The Higman–Sims graph, the Hall–Janko graph, the Clebsch graph, the Hoffman–Singleton graph, the Shrikhande...

graphs", Electronic Journal of Combinatorics, 14 (1): R20, doi:10.37236/938, MR 2285824. Hoffman, Alan J.; Singleton, Robert R. (1960), "Moore graphs...

group J2. It happens that J2 acts as a permutation group on the Hall–Janko graph of 100 points, the stabilizer of one point being a subgroup with two other...

Brouwer, A. E.; Cohen, A. M.; Neumaier, Arnold (1989), Distance-regular graphs, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics...

historian of the Reconstruction Era Alan Hoffman (1944), mathematician known for constructing the Hoffman–Singleton graph Bruce Mazlish (1944), American historian...

same degree. The graphs matching this bound were named Moore graphs by Hoffman & Singleton (1960). With Claude Shannon, before and during his time at Bell...

Sox, Peoria Redwings, Racine Belles). Alan J. Hoffman, 96, American mathematician (Hoffman–Singleton graph). Sinclair Hood, 103, British archaeologist,...

Jozef Širáň, who first constructed them in 1998. They include the Hoffman–Singleton graph as a special case. Badia, Valentina; Pérez-Rosés, Hebert; Ryan...

various individual (finite) graphs. The columns 'vertices', 'edges', 'radius', 'diameter', 'girth', 'P' (whether the graph is planar), χ (chromatic number)...

solving, and on the vertical axis they plot ability to innovate. In this graph, they identify four important regions: Novice (low efficiency, low innovation)...

Johnson, Nicholas; Bandres-Ciga, Sara; Ferrucci, Luigi; Faghri, Faraz; Singleton, Andrew B.; Nalls, Mike A. (19 January 2023). "Virus exposure and neurodegenerative...

of natural numbers Singleton Theory of descriptions Theory of relations Type theory/ramified type theory Tensor product of graphs Unity of the proposition...

Woodward, p. 286 Woodward, p. 316 Woodward, p. 280 Woodward, p. 159 Fred Singleton. A short history of the Yugoslav peoples. Cambridge University Press,...

This graph was using the legacy Graph extension, which is no longer supported. It needs to be converted to the new Chart extension....

JSTOR 2061822. PMID 1426433. Bergsjø P, Denman DW, Hoffman HJ, Meirik O (1990). "Duration of human singleton pregnancy. A population-based study". Acta Obstetricia...

That Make No Sense About Kurt Hummel". Screen Rant. "Glee". LezWatch.TV. Hoffman, Lauren (December 6, 2012). "Glee Recap: Christmas, Now With Less Death"...