Bounded degree graph inference from walks
Journal of Computer and System Sciences
Journal of Computer and System Sciences - Special issue on selected papers presented at the 24th annual ACM symposium on the theory of computing (STOC '92)
Machine Learning
Theoretical Computer Science
On an algorithm of Zemlyachenko for subtree isomorphism
Information Processing Letters
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Kernel Methods for Pattern Analysis
Extensions of marginalized graph kernels
ICML '04 Proceedings of the twenty-first international conference on Machine learning
A general regression technique for learning transductions
ICML '05 Proceedings of the 22nd international conference on Machine learning
Tailoring density estimation via reproducing kernel moment matching
Proceedings of the 25th international conference on Machine learning
Inferring a graph from path frequency
CPM'05 Proceedings of the 16th annual conference on Combinatorial Pattern Matching
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This paper considers the problem of inferring a graph from the number of occurrences of vertex-labeled paths, which is closely related to the pre-image problem for graphs: to reconstruct a graph from its feature space representation. It is shown that both exact and approximate versions of the problem can be solved in polynomial time in the size of an output graph by using dynamic programming algorithms if the graphs are trees whose maximum degree is bounded by a constant and the lengths of given paths and alphabet size are bounded by constants. On the other hand, it is shown that this problem is strongly NP-hard even for trees of bounded degree if the maximum length of paths is not bounded. The problem of inferring a string from the number of occurrences of fixed size substrings is also studied.