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ISPAN
2005
IEEE
15 years 3 months ago
The structure of super line graphs
For a given graph G = (V, E) and a positive integer k, the super line graph of index k of G is the graph Sk(G) which has for vertices all the k-subsets of E(G), and two vertices S...
Jay Bagga, Daniela Ferrero
GD
2009
Springer
15 years 2 months ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...
CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 7 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
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
63
Voted
DM
2011
184views Education» more  DM 2011»
14 years 4 months ago
Graphs of arbitrary excessive class
We show that there exists a family of r-regular graphs of arbitrarily large excessive index for each integer r greater than 3. Furthermore, we answer a question in [1] showing tha...
Giuseppe Mazzuoccolo, M. Young