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62
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ENDM
2002
47views more  ENDM 2002»
14 years 10 months ago
Splitting Operation and Connectedness in Binary Matroids
M. M. Shikare
92
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ENDM
2002
91views more  ENDM 2002»
14 years 10 months ago
On minimally 3-connected graphs on a surface
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, ...
Katsuhiro Ota
80
Voted
ENDM
2002
134views more  ENDM 2002»
14 years 10 months ago
Bounds on the signed domination number of a graph
Let G = (V, E) be a simple graph on vertex set V and define a function f : V {-1, 1}. The function f is a signed dominating function if for every vertex x V, the closed neighbor...
Ruth Haas, Thomas B. Wexler
65
Voted
ENDM
2002
109views more  ENDM 2002»
14 years 10 months ago
Graph Operations and Zipfian Degree Distributions
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...
Walter W. Kirchherr
66
Voted
ENDM
2002
97views more  ENDM 2002»
14 years 10 months ago
Traceability in Small Claw-Free Graphs
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...
John M. Harris, Michael J. Mossinghoff