Graphs with small bandwidth and cutwidth
Discrete Mathematics
Implicit representation of graphs
SIAM Journal on Discrete Mathematics
Local management of a global resource in a communication network
Journal of the ACM (JACM)
Approximating the bandwidth via volume respecting embeddings
Journal of Computer and System Sciences - 30th annual ACM symposium on theory of computing
Distributed computing: a locality-sensitive approach
Distributed computing: a locality-sensitive approach
Compact labeling schemes for ancestor queries
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Proceedings of the thirteenth annual ACM symposium on Parallel algorithms and architectures
Reachability and distance queries via 2-hop labels
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Improved labeling scheme for ancestor queries
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
A comparison of labeling schemes for ancestor queries
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Compact and localized distributed data structures
Distributed Computing - Papers in celebration of the 20th anniversary of PODC
Labeling Schemes for Flow and Connectivity
SIAM Journal on Computing
Measured Descent: A New Embedding Method for Finite Metrics
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Journal of Algorithms
Compact oracles for reachability and approximate distances in planar digraphs
Journal of the ACM (JACM)
Distance labeling schemes for well-separated graph classes
Discrete Applied Mathematics
Informative labeling schemes for graphs
Theoretical Computer Science - Mathematical foundations of computer science 2000
Average case analysis for tree labelling schemes
ISAAC'05 Proceedings of the 16th international conference on Algorithms and Computation
Approximating the bandwidth of caterpillars
APPROX'05/RANDOM'05 Proceedings of the 8th international workshop on Approximation, Randomization and Combinatorial Optimization Problems, and Proceedings of the 9th international conference on Randamization and Computation: algorithms and techniques
General compact labeling schemes for dynamic trees
DISC'05 Proceedings of the 19th international conference on Distributed Computing
Constructing labeling schemes through universal matrices
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
Coding the vertexes of a graph
IEEE Transactions on Information Theory
Improved compact routing schemes for dynamic trees
Proceedings of the twenty-seventh ACM symposium on Principles of distributed computing
Note: A note on models for graph representations
Theoretical Computer Science
Compact Routing Schemes for Dynamic Trees in the Fixed Port Model
ICDCN '09 Proceedings of the 10th International Conference on Distributed Computing and Networking
An Optimal Labeling for Node Connectivity
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Labeling schemes for vertex connectivity
ACM Transactions on Algorithms (TALG)
New bounds for the controller problem
DISC'09 Proceedings of the 23rd international conference on Distributed computing
Efficient threshold detection in a distributed environment: extended abstract
Proceedings of the 29th ACM SIGACT-SIGOPS symposium on Principles of distributed computing
Compact ancestry labeling schemes for XML trees
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
Controller and estimator for dynamic networks
Information and Computation
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A Distance labeling scheme is a type of localized network representation in which short labels are assigned to the vertices, allowing one to infer the distance between any two vertices directly from their labels, without using any additional information sources. As most applications for network representations in general, and distance labeling schemes in particular, concern large and dynamically changing networks, it is of interest to focus on distributed dynamic labeling schemes. The paper considers dynamic weighted trees where the vertices of the trees are fixed but the (positive integral) weights of the edges may change. The two models considered are the edge-dynamic model, where from time to time some edge changes its weight by a fixed quanta, and the increasing-dynamic model in which edge weights can only grow. The paper presents distributed approximate distance labeling schemes for the two dynamic models, which are efficient in terms of the required label size and communication complexity involved in updating the labels following the weight changes.