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» Bounds of Graph Characteristics
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EJC
2008
13 years 7 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»
13 years 7 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
2007
Springer
181views Education» more  CORR 2007»
13 years 7 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
GC
2010
Springer
13 years 6 months ago
Degree Bounded Spanning Trees
In this paper, we give a sufficient condition for a graph to have a degree bounded spanning tree. Let n ≥ 1, k ≥ 3, c ≥ 0 and G be an n-connected graph. Suppose that for eve...
Jun Fujisawa, Hajime Matsumura, Tomoki Yamashita
JCT
2007
140views more  JCT 2007»
13 years 7 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr