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DAM
2000
121views more  DAM 2000»
15 years 6 months ago
Chordality and 2-factors in Tough Graphs
A graph G is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k. In this note it is proved t...
Douglas Bauer, Gyula Y. Katona, Dieter Kratsch, He...
ENDM
2002
91views more  ENDM 2002»
15 years 6 months ago
On minimally 3-connected graphs on a surface
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
Katsuhiro Ota
JCT
2010
101views more  JCT 2010»
15 years 4 months ago
Asymptotically optimal frugal colouring
We prove that every graph with maximum degree ∆ can be properly (∆ + 1)coloured so that no colour appears more than O(log ∆/ log log ∆) times in the neighbourhood of any v...
Michael Molloy, Bruce A. Reed
ATAL
2008
Springer
15 years 8 months ago
Synchronization protocols for reliable communication in fully distributed agent systems
In order to prevent misunderstandings within groups of interacting agents, it is necessary to ensure that the agents' beliefs regarding the overall state of the interaction a...
Hywel R. Dunn-Davies, Jim Cunningham, Shamimabi Pa...
SAS
2000
Springer
15 years 10 months ago
Tree Schemata and Fair Termination
We present a new representation for possibly infinite sets of possibly infinite trees. This representation makes extensive use of sharing to achieve efficiency. As much as possible...
Laurent Mauborgne