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A182043
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Table, by rows, of T(k,n) the number of simple graphs on v = prime(n) vertices and with e = prime(k) edges.
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0
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1, 1, 2, 4, 6, 4, 2, 5, 21, 65, 148, 97, 10, 2, 2, 5, 26, 172, 10250, 75415, 2295898, 8640134, 53037356, 99187806, 70065437, 4609179, 192788, 28259, 467, 2, 2, 5, 26, 176, 14140, 154658, 17422984, 152339952, 6461056816, 359954668522, 899632282299, 4093273437761, 4093273437761
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OFFSET
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2,3
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LINKS
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EXAMPLE
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T(3,4) = 4 because there are 4 simple graphs with prime(3) = 5 vertices and prime(4) = 7 edges.
The table begins:
+---+---+---+---+
|e=2|e=3|e=5|e=7|
+---+---+---+---+---+
|v=3| 1 | 1 | | |
+---+---+---+---+---+
|v=5| 2 | 4 | 6 | 4 |
+---+---+---+---+---+
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MAPLE
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read("transforms3") :
L := BFILETOLIST("b008406.txt") ;
global L ;
local f, r ;
f := 1 ;
r := 1 ;
while r < n do
f := f+r*(r-1)/2+1 ;
r := r+1 ;
end do:
op(f+k, L) ;
end proc:
for n from 1 do
v := ithprime(n) ;
for k from 1 do
e := ithprime(k) ;
if e > v*(v-1)/2 then
break;
else
end if;
end do:
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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