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• Gradient_network abstract "A gradient network is a directed subnetwork of an undirected "substrate" network in which each node has an associated scalar potential and one out-link that point to the node with the smallest (or largest) potential in its neighborhood, defined as the reunion of itself and its nearest neighbors on the substrate networks.Let us consider that transport takes place on a fixed network G = G(V,E) called the substrate graph. It has N nodes, V = {0, 1, ...,N − 1} and the setof edges E = { (i,j) | i,j ∈ V}. Given a node i, we can define its set of neighbors in G by Si(1) = {j ∈ V | (i,j)∈ E}. Let us also consider a scalar field, h = {h0, .., hN−1} defined on the set of nodes V, so that every node i has a scalar value hi associated to it.Gradient ∇hi on a network: ∇hi(i, μ(i))i.e. the directed edge from i to μ(i), where μ(i) ∈ Si(1) ∪ {i}, and hμ has the maximum value in .Gradient network : ∇∇where F is the set of gradient edges on G.In general, the scalar field depends on time, due to the flow, external sources and sinks on the network. Therefore, the gradient network ∇ will be dynamic.".
• Gradient_network thumbnail Gradient_network_(sample_diagram).jpg?width=300.
• Gradient_network wikiPageID "8477282".
• Gradient_network wikiPageRevisionID "549649509".
• Gradient_network cleanup "June 2009".
• Gradient_network context "June 2009".
• Gradient_network hasPhotoCollection Gradient_network.
• Gradient_network orphan "February 2009".
• Gradient_network subject Category:Networks.
• Gradient_network type Abstraction100002137.
• Gradient_network type Group100031264.
• Gradient_network type Network108434259.
• Gradient_network type Networks.
• Gradient_network type System108435388.
• Gradient_network comment "A gradient network is a directed subnetwork of an undirected "substrate" network in which each node has an associated scalar potential and one out-link that point to the node with the smallest (or largest) potential in its neighborhood, defined as the reunion of itself and its nearest neighbors on the substrate networks.Let us consider that transport takes place on a fixed network G = G(V,E) called the substrate graph.".
• Gradient_network label "Gradient network".
• Gradient_network sameAs m.0274x8m.
• Gradient_network sameAs Q5591914.
• Gradient_network sameAs Q5591914.
• Gradient_network sameAs Gradient_network.
• Gradient_network wasDerivedFrom Gradient_network?oldid=549649509.
• Gradient_network depiction Gradient_network_(sample_diagram).jpg.
• Gradient_network isPrimaryTopicOf Gradient_network.