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A331236 Total cutting number of all simple connected graphs of order n. 2
0, 0, 1, 7, 43, 302, 2622, 31129, 564452, 17585400, 1006927107, 107458067322 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..12.

F. Harary and P. A. Ostrand, How cutting is a cut point?, pp. 147-150 of R. K. Guy et al., editors, Combinatorial Structures and Their Applications (Proceedings Calgary Conference Jun 1969}), Gordon and Breach, NY, 1970. [Annotated scan of page 147 only.]

F. Harary and P. A. Ostrand, How cutting is a cut point?, pp. 147-150 of R. K. Guy et al., editors, Combinatorial Structures and Their Applications (Proceedings Calgary Conference Jun 1969}), Gordon and Breach, NY, 1970. [Annotated scan of pages 148, 149 only.]

Sean A. Irvine, Java program (github)

Simon Mukwembi and Senelani Dorothy Hove-Musekwa, On bounds for the cutting number of a graph, Indian J. Pure Appl. Math., 43 (2012), 637-649.

FORMULA

a(n) = Sum_{G} c(G) where the sum is over all graphs G with n vertices and c(G) is the cutting number of G.

a(n) = Sum_{k=0..(n-1)*(n-2)/2} A331422(n, k).

CROSSREFS

Cf. A331237 (trees), A331422.

Sequence in context: A277188 A244938 A199483 * A042213 A193705 A164775

Adjacent sequences:  A331233 A331234 A331235 * A331237 A331238 A331239

KEYWORD

nonn,more

AUTHOR

Sean A. Irvine, Jan 13 2020

STATUS

approved

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Last modified January 23 16:36 EST 2021. Contains 340385 sequences. (Running on oeis4.)