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112
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DM
2008
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15 years 27 days ago
Total and fractional total colourings of circulant graphs
In this paper, the total chromatic number and fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional ...
Riadh Khennoufa, Olivier Togni
78
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DM
2008
91views more  DM 2008»
15 years 27 days ago
Further results on large sets of Kirkman triple systems
LR design is introduced by the second author in his recent paper, and it plays a very important role in the construction of LKTS (a large set of disjoint Kirkman triple system). I...
Lijun Ji, Jianguo Lei
70
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DM
2008
97views more  DM 2008»
15 years 27 days ago
On the integral ring spanned by genus two weight enumerators
Abstract. It is known that the weight enumerator of a self-dual doublyeven code in genus g = 1 can be uniquely written as an isobaric polynomial in certain homogeneous polynomials ...
Manabu Oura
61
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DM
2008
58views more  DM 2008»
15 years 27 days ago
Incompleteness of the Giulietti-Ughi arc for large primes
In this paper we show that for large primes the Giulietti-Ughi arcs in PG(2, p2) are not complete. In the second half of the paper we extend the original arc. Key words: Arc, Proj...
Rohit Ghosh
76
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DM
2008
69views more  DM 2008»
15 years 27 days ago
The signed-graphic representations of wheels and whirls
We characterize all of the ways to represent the wheel matroids and whirl matroids using frame matroids of signed graphs. The characterization of wheels is in terms of topological...
Daniel C. Slilaty, Hongxun Qin