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SODA
2008
ACM
70views Algorithms» more  SODA 2008»
15 years 7 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo
ALGORITHMICA
2007
82views more  ALGORITHMICA 2007»
15 years 6 months ago
Rigid Components in Molecular Graphs
In this paper we consider 3-dimensional generic bar-and-joint realizations of squares of graphs. These graphs are also called molecular graphs due to their importance in the study...
Bill Jackson, Tibor Jordán
ARSCOM
2007
91views more  ARSCOM 2007»
15 years 6 months ago
Zero-Sum Magic Graphs And Their Null Sets
For any h ∈ N, a graph G = (V, E) is said to be h-magic if there exists a labeling l : E(G) → Zh − {0} such that the induced vertex labeling l+ : V (G) → Zh defined by l+ ...
Ebrahim Salehi
CPC
2008
51views more  CPC 2008»
15 years 6 months ago
Winning Fast in Sparse Graph Construction Games
A Graph Construction Game is a Maker-Breaker game. Maker and Breaker take turns in choosing previously unoccupied edges of the complete graph KN . Maker's aim is to claim a c...
Ohad N. Feldheim, Michael Krivelevich
DM
2008
73views more  DM 2008»
15 years 6 months ago
Graphs with the n-e.c. adjacency property constructed from affine planes
We give new examples of graphs with the n-e.c. adjacency property. Few explicit families of n-e.c. graphs are known, despite the fact that almost all finite graphs are n-e.c. Our ...
C. A. Baker, Anthony Bonato, Julia M. Nowlin Brown...