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COMBINATORICS
2002
116views more  COMBINATORICS 2002»
13 years 4 months ago
Toida's Conjecture is True
Let S be a subset of the units in Zn. Let be a circulant graph of order n (a Cayley graph of Zn) such that if ij E(), then i - j (mod n) S. Toida conjectured that if is another...
Edward Dobson, Joy Morris
CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 4 months ago
Fractional generalizations of Young and Brunn-Minkowski inequalities
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for...
Sergey Bobkov, Mokshay M. Madiman, Liyao Wang
JCT
2006
82views more  JCT 2006»
13 years 4 months ago
On Rado's Boundedness Conjecture
We prove that Rado's Boundedness Conjecture from Richard Rado's 1933 famous dissertation Studien zur Kombinatorik is true if it is true for homogeneous equations. We the...
Jacob Fox, Daniel J. Kleitman
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
14 years 1 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
ENDM
2010
100views more  ENDM 2010»
13 years 4 months ago
Balanced list edge-colourings of bipartite graphs
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...
Tamás Fleiner, András Frank