A logspace algorithm for tree canonization (extended abstract)
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Self-stabilizing systems in spite of distributed control
Communications of the ACM
Computation: finite and infinite machines
Computation: finite and infinite machines
Computation in networks of passively mobile finite-state sensors
Distributed Computing - Special issue: PODC 04
Fast and lean self-stabilizing asynchronous protocols
SFCS '94 Proceedings of the 35th Annual Symposium on Foundations of Computer Science
Names Trump Malice: Tiny Mobile Agents Can Tolerate Byzantine Failures
ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
Stably computable properties of network graphs
DCOSS'05 Proceedings of the First IEEE international conference on Distributed Computing in Sensor Systems
Hi-index | 0.00 |
We consider the question of how much information can be stored by labeling the vertices of a connected undirected graph G using a constant-size set of labels, when isomorphic labelings are not distinguishable. An exact information-theoretic bound is easily obtained by counting the number of isomorphism classes of labelings of G, which we call the information-theoretic capacity of the graph. More interesting is the effective capacity of members of some class of graphs, the number of states distinguishable by a Turing machine that uses the labeled graph itself in place of the usual linear tape. We show that the effective capacity equals the information-theoretic capacity up to constant factors for trees, random graphs with polynomial edge probabilities, and bounded-degree graphs.