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» (k, )-Distance-Hereditary Graphs
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GD
1997
Springer
15 years 2 months ago
Orthogonal 3-D Graph Drawing
This paper studies 3-D orthogonal grid drawings for graphs of arbitrary degree, in particular Kn, with vertices drawn as boxes. It establishes asymptotic lower bounds for the volu...
Therese C. Biedl, Thomas C. Shermer, Sue Whiteside...
JGT
2010
57views more  JGT 2010»
14 years 8 months ago
NZ-flows in strong products of graphs
: We prove that the strong product G1 G2 of G1 and G2 is Z3-flow contractible if and only if G1 G2 is not T K2, where T is a tree (we call T K2 a K4-tree). It follows that G1 G2 ad...
Wilfried Imrich, Iztok Peterin, Simon Spacapan, Cu...
SPAA
2003
ACM
15 years 3 months ago
Optimal fault-tolerant linear arrays
This paper proves that for every positive integers n and k, we can explicitly construct a graph G with n+O(k) vertices and maximum degree 3, such that even after removing any k ve...
Toshinori Yamada, Shuichi Ueno
JGT
2008
92views more  JGT 2008»
14 years 9 months ago
A new upper bound for the bipartite Ramsey problem
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
David Conlon
EDBT
2009
ACM
277views Database» more  EDBT 2009»
15 years 2 months ago
G-hash: towards fast kernel-based similarity search in large graph databases
Structured data including sets, sequences, trees and graphs, pose significant challenges to fundamental aspects of data management such as efficient storage, indexing, and simila...
Xiaohong Wang, Aaron M. Smalter, Jun Huan, Gerald ...