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Ant algorithm for flow assignment in connection-oriented networks

100%
Walkowiak K.
International Journal of Applied Mathematics and Computer Science
|
2005
|
tom 15
|
nr 2
205-220
EN
This work introduces ANB (bf Ant Algorithm for bf Non-bf Bifurcated Flows), a novel approach to capacitated static optimization of flows in connection-oriented computer networks. The problem considered arises naturally from several optimization problems that have recently received significant attention. The proposed ANB is an ant algorithm motivated by recent works on the application of the ant algorithm to solving various problems related to computer networks. However, few works concern the use of ant algorithms in the assignment of static flows in connection-oriented networks. We analyze the major characteristics of the ANB and try to explain its performance. We report results of many experiments over various networks.
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The Fan-Raspaud conjecture: A randomized algorithmic approach and application to the pair assignment problem in cubic networks

88%
Formanowicz P., Tanaś K.
International Journal of Applied Mathematics and Computer Science
|
2012
|
tom 22
|
nr 3
765-778
EN
It was conjectured by Fan and Raspaud (1994) that every bridgeless cubic graph contains three perfect matchings such that every edge belongs to at most two of them. We show a randomized algorithmic way of finding Fan-Raspaud colorings of a given cubic graph and, analyzing the computer results, we try to find and describe the Fan-Raspaud colorings for some selected classes of cubic graphs. The presented algorithms can then be applied to the pair assignment problem in cubic computer networks. Another possible application of the algorithms is that of being a tool for mathematicians working in the field of cubic graph theory, for discovering edge colorings with certain mathematical properties and formulating new conjectures related to the Fan-Raspaud conjecture.
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