Results 11  20
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1,213
NonSeparating Cycles in 4Connected Graphs
, 2001
"... We prove that given any fixed edge ra in a 4connected graph G, there exists a cycle C through ra such that G − (V (C) − {r}) is 2connected. This will provide the first step in a decomposition for 4connected graphs. We also prove that for any given edge e in a 5connected graph G there exists an ..."
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Cited by 2 (2 self)
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We prove that given any fixed edge ra in a 4connected graph G, there exists a cycle C through ra such that G − (V (C) − {r}) is 2connected. This will provide the first step in a decomposition for 4connected graphs. We also prove that for any given edge e in a 5connected graph G there exists
Multiplesource shortest paths in embedded graphs
, 2012
"... Let G be a directed graph with n vertices and nonnegative weights in its directed edges, embedded on a surface of genus g, and let f be an arbitrary face of G. We describe an algorithm to preprocess the graph in O(gn log n) time, so that the shortestpath distance from any vertex on the boundary of ..."
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Cited by 12 (6 self)
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. Intuitively, our preprocessing algorithm maintains a shortestpath tree as its source point moves continuously around the boundary of f. As an application of our algorithm, we describe algorithms to compute a shortest noncontractible or nonseparating cycle in embedded, undirected graphs in O(g² n log n
Finding shortest nontrivial cycles in directed graphs on surfaces
 In These Proceedings
, 2010
"... Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest noncontractible and a shortest surface nonseparating cycle in D. This generalizes previous results that only dealt with undirected ..."
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Cited by 14 (3 self)
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Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest noncontractible and a shortest surface nonseparating cycle in D. This generalizes previous results that only dealt
/ Costly Labor Reallocation, NonSeparable Preferences, and Expectation Driven Business Cycles
, 2010
"... A key feature of the business cycle data is that output, employment and investment move up and down together in different sectors of the economy. However, standard business cycle models fail to generate this business cycle sectoral comovement. In this paper we propose a twosector business cycle mo ..."
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model that generates the sectoral cycle comovement in response to both contemporaneous shocks and news shocks about fundamentals. The key elements to the model’s success are frictions in intersectoral labor mobility and nonseparable preferences in consumption and leisure, along with adjustment costs
Computing the shortest essential cycle
, 2008
"... An essential cycle on a surface is a simple cycle that cannot be continuously deformed to a point or a single boundary. We describe algorithms to compute the shortest essential cycle in an orientable combinatorial surface in O(n 2 log n) time, or in O(n log n) time when both the genus and number of ..."
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Cited by 11 (4 self)
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An essential cycle on a surface is a simple cycle that cannot be continuously deformed to a point or a single boundary. We describe algorithms to compute the shortest essential cycle in an orientable combinatorial surface in O(n 2 log n) time, or in O(n log n) time when both the genus and number
ShortestPath Kernels on Graphs
 In Proceedings of the 2005 International Conference on Data Mining
, 2005
"... Data mining algorithms are facing the challenge to deal with an increasing number of complex objects. For graph data, a whole toolbox of data mining algorithms becomes available by defining a kernel function on instances of graphs. Graph kernels based on walks, subtrees and cycles in graphs have bee ..."
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Cited by 62 (5 self)
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Data mining algorithms are facing the challenge to deal with an increasing number of complex objects. For graph data, a whole toolbox of data mining algorithms becomes available by defining a kernel function on instances of graphs. Graph kernels based on walks, subtrees and cycles in graphs have
Minimum Cuts and Shortest Homologous Cycles
 SYMPOSIUM ON COMPUTATIONAL GEOMETRY
, 2009
"... We describe the first algorithms to compute minimum cuts in surfaceembedded graphs in nearlinear time. Given an undirected graph embedded on an orientable surface of genus g, with two specified vertices s and t, our algorithm computes a minimum (s, t)cut in g O(g) n log n time. Except for the spec ..."
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Cited by 33 (11 self)
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cost subgraph in every Z2homology class. We also prove that finding a minimumcost subgraph homologous to a single input cycle is NPhard.
On Packing Shortest Cycles in Graphs
"... Abstract. We study the problems to find a maximum packing of shortest edgedisjoint cycles in a graph of given girth g (gESCP) and its vertexdisjoint analogue gVSCP. In the case g = 3, Caprara and Rizzi (2001) have shown that gESCP can be solved in polynomial time for graphs with maximum degree ..."
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Abstract. We study the problems to find a maximum packing of shortest edgedisjoint cycles in a graph of given girth g (gESCP) and its vertexdisjoint analogue gVSCP. In the case g = 3, Caprara and Rizzi (2001) have shown that gESCP can be solved in polynomial time for graphs with maximum degree
Generating the cycle space by induced nonseparating cycles in locally finite graphs and in graphs with at most one end
, 2001
"... ..."
Finding one tight cycle
 Proc. 19th Ann. ACMSIAM Symp. Discrete Algorithms
"... A cycle on a combinatorial surface is tight if it as short as possible in its (free) homotopy class. We describe an algorithm to compute a single tight, noncontractible, essentially simple cycle on a given orientable combinatorial surface in O(n log n) time. The only method previously known for thi ..."
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Cited by 15 (10 self)
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for this problem was to compute the globally shortest noncontractible or nonseparating cycle in O(min{g 3, n} nlog n) time, where g is the genus of the surface. As a consequence, we can compute the shortest cycle freely homotopic to a chosen boundary cycle in O(n log n) time, a tight octagonal decomposition in O
Results 11  20
of
1,213