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» On Bounds for the k-Partitioning of Graphs
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SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
15 years 1 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki
EJC
2008
14 years 10 months ago
3-bounded property in a triangle-free distance-regular graph
Let denote a distance-regular graph with classical parameters (D, b, , ) and D 3. Assume the intersection numbers a1 = 0 and a2 = 0. We show is 3-bounded in the sense of the ar...
Yeh-jong Pan, Chih-wen Weng
COMBINATORICS
2007
121views more  COMBINATORICS 2007»
14 years 9 months ago
A Bound for Size Ramsey Numbers of Multi-partite Graphs
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
Yuqin Sun, Yusheng Li
CORR
2010
Springer
342views Education» more  CORR 2010»
14 years 7 months ago
Canonizable Partial Order Generators
In a previous work we introduced slice graphs as a way to specify both infinite languages of directed acyclic graphs (DAGs) and infinite languages of partial orders. Therein we fo...
Mateus de Oliveira Oliveira
CORR
2007
Springer
181views Education» more  CORR 2007»
14 years 9 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani