论文信息 - Cellular Graph Automata

Cellular Graph Automata

Labelled graphs of bounded degree, with numbers assigned to the arcs at each node, are called d-graphs. A class of generalized automata, called cellular d-graph automata, in which the intercell connections define a d-graph, is introduced. It can be shown that a cellular d-graph automaton can measure various properties of its underlying graph; can detect graph or subgraph isomorphism; and can recognize various basic types of graphs. Most of these tasks can be performed in time proportional to the diameter of the given graph. Closure properties of d-graph languages are also briefly discussed.

Azriel Rosenfeld | Angela Y. Wu | A. Rosenfeld | A. Wu | A. Wu

[1] Ronald C. Read,et al. Graph theory and computing , 1972 .

[2] Juris Hartmanis,et al. On the Power of Multiplication in Random Access Machines , 1974, SWAT.

[3] P. Rosenstiehl,et al. INTELLIGENT GRAPHS: NETWORKS OF FINITE AUTOMATA CAPABLE OF SOLVING GRAPH PROBLEMS , 1972 .

[4] Alfred V. Aho,et al. The Design and Analysis of Computer Algorithms , 1974 .

[5] Leslie Michael Goldschlager,et al. Synchronous parallel computation. , 1978 .

[6] Dexter Kozen,et al. On parallelism in turing machines , 1976, 17th Annual Symposium on Foundations of Computer Science (sfcs 1976).

[7] Stephen A. Cook,et al. Time Bounded Random Access Machines , 1973, J. Comput. Syst. Sci..

[8] Azriel Rosenfeld,et al. Networks of Automata: Some Applications , 1975, IEEE Transactions on Systems, Man, and Cybernetics.

[9] Leslie M. Goldschlager,et al. A unified approach to models of synchronous parallel machines , 1978, STOC.

[10] Walter J. Savitch,et al. Parallel and Nondeterministic Time Complexity Classes (Preliminary Report) , 1978, ICALP.

[11] Larry J. Stockmeyer,et al. A Characterization of the Power of Vector Machines , 1976, J. Comput. Syst. Sci..

[12] John Mylopoulos,et al. On the Topological Properties of Quantized Spaces, I. The Notion of Dimension , 1971, JACM.

[13] David L. Milgram,et al. Web Automata , 1975, Inf. Control..

[14] Walter J. Savitch,et al. Time Bounded Random Access Machines with Parallel Processing , 1979, JACM.