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 A128929 Diameter of a special type of regular graph of degree 4 whose order maintain an increase in form of an arithmetic progression. 3
 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,3 REFERENCES Claude C.S. and Dinneen M.J (1998), Group-theoretic methods for designing networks, Discrete mathematics and theoretical computer science, Research report Comellas, F. and Gomez, J. (1995), New large graphs with given degree and diameter, in Proceedings of the seventh quadrennial international conference on the theory and applications of graphs, Volume 1: pp. 222-233 Ibrahim, A., A. (2007), A stable variety of Cayley graphs (in preparation) LINKS Eric Weisstein's World of Mathematics, Graph Thickness FORMULA f(D4,5)=1: Order =4,5; f(D)= f(D4,5)+n: order=5+n, n=1,2,... I am assuming this sequence is just Floor[(n+5)/4]... [From Eric W. Weisstein, Sep 09 2008] EXAMPLE f(D4,5)=1 when order=4, f(D4,5)=1 when order=5, f(D)=f(D4,5)+1=1+1=2 when order is 5+1=6 CROSSREFS Cf. A123642. Sequence in context: A110655 A008621 A144075 * A257839 A075245 A328301 Adjacent sequences:  A128926 A128927 A128928 * A128930 A128931 A128932 KEYWORD nonn AUTHOR Aminu Alhaji Ibrahim, Apr 25 2007 STATUS approved

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Last modified January 19 15:37 EST 2020. Contains 331049 sequences. (Running on oeis4.)