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» On the Chromatic Number of Random Graphs
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IM
2007
15 years 4 months ago
Pursuit-Evasion in Models of Complex Networks
Vertex pursuit games, such as the game of Cops and Robbers, are a simplified model for network security. In these games, cops try to capture a robber loose on the vertices of the ...
Anthony Bonato, Pawel Pralat, Changping Wang
COCOON
2008
Springer
15 years 6 months ago
Visual Cryptography on Graphs
In this paper, we consider a new visual cryptography scheme that allows for sharing of multiple secret images on graphs: we are given an arbitrary graph (V, E) where every node an...
Steve Lu, Daniel Manchala, Rafail Ostrovsky
JGT
2007
99views more  JGT 2007»
15 years 4 months ago
Backbone colorings for graphs: Tree and path backbones
We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph G = (V, E) and a spanning subgraph H of G (the backbone of G), a backbone color...
Hajo Broersma, Fedor V. Fomin, Petr A. Golovach, G...
RSA
2000
112views more  RSA 2000»
15 years 4 months ago
Growth of components in random graphs
The creation and growth of components of a given complexity in a random graph process are studied. In particular, the expected number and total size of all such components is found...
Svante Janson
ICALP
2009
Springer
16 years 4 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...