Optimal Estimation on the Graph Cycle Space
نویسندگان
چکیده
منابع مشابه
On the tenacity of cycle permutation graph
A special class of cubic graphs are the cycle permutation graphs. A cycle permutation graph Pn(α) is defined by taking two vertex-disjoint cycles on n vertices and adding a matching between the vertices of the two cycles.In this paper we determine a good upper bound for tenacity of cycle permutation graphs.
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Finite graph homology may seem trivial, but for infinite graphs things become interesting. We present a new approach that builds the cycle space of a graph not on its finite cycles but on its topological circles, the homeomorphic images of the unit circle in the space formed by the graph together with its ends. Our approach permits the extension to infinite graphs of standard results about fini...
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We give a simple proof of Tutte’s theorem stating that the cycle space of a 3–connected graph is generated by the set of non-separating circuits of the graph.
متن کاملon the tenacity of cycle permutation graph
a special class of cubic graphs are the cycle permutation graphs. a cycle permutation graph pn( α) is defined by taking two vertex-disjoint cycles on n vertices and adding a matching between the vertices of the two cycles.in this paper we determine a good upper bound for tenacity of cycle permutation graphs.
متن کاملInteger Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the number of backward edges. Such a homomorphism preserves the parity of the length of a cycle and the image of a cycle is bounded by the length of that cycle. Pretzel and Youngs [1] showed that any Z-module homomorphism of ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2011
ISSN: 1053-587X,1941-0476
DOI: 10.1109/tsp.2011.2117422