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Gathering information in a graph
Journal of Combinatorial Mathematics and Combinatorial Computing. 2013. Vol. 85. P. 65–78.
Beaudou L., Grappe R., Hahn G.
Suppose each vertex in a graph G has a unit of information and that all the units must be collected at a vertex u in G. Assuming that a vertex can receive (from its neighbours) an unlimited number of units at each discrete moment but can only send one at a time, find the shortest collection time, col u(G), needed to collect all the information at u and an optimal protocol that achieves this. We derive lower and upper bounds for the problem, give a polynomial time algorithm in the general case, and a linear time algorithm for hypercubes.
Priority areas:
IT and mathematics
Language:
English
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., 2019.
In this paper, we consider the following problem - what affects
the Nash equilibrium amount of investment in knowledge when some agents
of the complete graph enter another full one. The solution of this problem will
allow us to understand exactly how game agents will behave when deciding
whether to enter the other net, what conditions and externalities affect it
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