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A new algorithm for solving the tree isomorphism problem

Ein neuer Algorithmus zur Lösung des Baum-Isomorphismus-Problems

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Abstract

The problem and known algorithms for its solution are briefly discussed. An efficient algorithm for canonical coding of unlabelled trees is described. Several applications of the code, including the tree isomorphism problem, are considered. Efficiency of the algorithm is evaluated and discussed.

Zusammenfassung

Das Problem und die bekannten Algorithmen für seine Lösung werden kurz besprochen. Ein wirksamer Algorithmus für kanonische Kodierung von nicht indizierten Bäumen wird gegeben. Einige Anwendungen des Kodes, u. a. auf das Baum-Isomorphismus-Problem, werden erörtert. Die Wirksamkeit des Algorithmus wird bewertet und diskutiert.

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References

  1. Read, C. R., Corneil, D. G.: The graph isomorphism disease. JGT1, 339 (1977).

    Google Scholar 

  2. Busacker, R. G., Saaty, T. L.: Finite graphs and networks, p. 196. New York: McGraw-Hill 1965.

    Google Scholar 

  3. Corneil, D. G., Gotlieb, C. C.: An efficient algorithm for graph isomorphism. JACM17, 51 (1970).

    Article  Google Scholar 

  4. Jovanović, A. D., Danilović, D. Ž.: A new algorithm for solving the tree isomorphism problem. Proc. XXII Jugoslav Conf. ETAN, p. 1/177. Beograd: ETAN 1978.

    Google Scholar 

  5. Danilović, D. Ž., Jovanović, A. D.: Improvement and computer realization of Edmond's algorithm for tree isomorphism. Proc. Jugoslav Conf. Jahorina, p. 302/1. Sarajevo: Faculty of Electr. Engng. 1978.

    Google Scholar 

  6. Jovanović, A. D., Danilović, D. Ž.: Survey of Algorithms for Examining isomorphism of trees. Proc. XXV Jugoslav Conf. ETAN, p. 1/295. Beograd. ETAN 1981.

    Google Scholar 

  7. Tarjan, R. E.: Graph Algorithms in Chemical Computation, p. 1. 1977.

  8. Harrary, F.: Graph Theory. Reading: 1969.

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Jovanović, A., Danilović, D. A new algorithm for solving the tree isomorphism problem. Computing 32, 187–198 (1984). https://doi.org/10.1007/BF02243572

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  • DOI: https://doi.org/10.1007/BF02243572

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