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ENDM
2002
13 years 6 months ago
2002
The probability distribution on a set S = { 1, 2, . . . , n } defined by Pr(k) = 1/(Hnk), where Hn in the nth harmonic number, is commonly called a Zipfian distribution. In this no...
ENDM
2002
13 years 6 months ago
2002
We prove that a claw-free, 2-connected graph with fewer than 18 vertices is traceable, and we determine all non-traceable, claw-free, 2-connected graphs with exactly 18 vertices an...
ENDM
2007
13 years 6 months ago
2007
We find exact values for the game chromatic number of the Cartesian product graphs Sm Pn, Sm Cn, P2 Wn, and P2 Km,n. This extends previous results of Bartnicki et al. on the game...
ENDM
2002
13 years 6 months ago
2002
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
ENDM
2010
13 years 6 months ago
2010
Galvin solved the Dinitz conjecture by proving that bipartite graphs are -edge-choosable. We employ Galvin's method to show some further list edgecolouring properties of bipa...