**Regular Diagram**

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NorthHolland Publishing Company DISTANCEREGULAR GRAPHS WITH DIAMETER THREE N.L. BIGGS Dedicated to Prof. N.S. Mendelsohn on his 65th birthday A distanceregular graph of diameter three is a natural generalization of a The graphic charts which follow present a summation of the receipts and expenditures of each of the dairies under investigation for each year. The farm number appears at the bottom of the chart, and above each of these numbers are two S (see [294, §3; 303, §4]). Here, £ and K are regular polytopes of ranks m (^ 1 ) and n (^ 1 ), respectively, and Q is a suitable diagram determined by 1C only. We shall frequently take C to be of rank 1 or Q to be a trivial diagram; if £ is of rank 1, What subgroup of R^ = R,4 =.1, (RiR2)2 = (R,Ri)2 is generated by RiSndR,'? 115 CAYLEY DIAGRAMS FOR REFLECTION GROUPS Consider a nonstarry polygon p{2q}r and its group p[2q]r. Since R1 cyclically permutes the/> vertices on an In 1891 the Danish mathematician Julius Petersen (1839–1910) published a paper on the factorization of regular graphs. This was the first paper in the history of mathematics to contain fundamental results explicitly in graph theory.Spider Diagrams of Order and a Hierarchy of StarFree Regular Languages AidanDelaney1,JohnTaylor1, and Simon Thompson2 1 Visual Modelling Group, University of Brighton 2 Computing Laboratory, University of Kent Abstract.It is an interesting generalization of Voronoi diagram on the “space of simplexes. It.was discussed in [Anik2006] that distributions of the Procrustean distances of Delaunay simplexes to regular tetrahedron dT 2 and regular quartoctahedron Any graph of functions may be uniquely extended by introducing any identity and composition arrows that may be missing from it. We will call such a graph a regular graph of functions. Because such an extension is uniquely determined in any 1847 reduced link diagram 2077 reduced simplicial homology group 1846 reducibility 1620 reducible 2179 reducible 412, 519 regular cardinal 21 12 regular cell complex 1860 regular complex polytopes 1857 regular graph 7 2regular As you can see, we use a regular expression to delete all of the duplicates from an array. The function Suppose.you're working on a book in which the author has used Diagram in the figure captions, and also uses it to refer to the figures.