Signed graphs
WebOct 29, 2024 · A wide range of data science problems can be modeled in terms of a graph (or network), e.g., social, sensor, communication, infrastructure, and biological networks. The nodes in a graph/network represent the entities of interest, and the edges reflect relations between these entities, such as geographic proximity (e.g., wireless networks), … WebRunning GASP on a graph. The main function to run GASP on a graph (that can be built using the nifty package) is given by from GASP.segmentation import run_GASP: run_GASP ( graph , signed_edge_weights , linkage_criteria='mean' , add_cannot_link_constraints=False , edge_sizes=None , is_mergeable_edge=None , use_efficient_implementations=True ...
Signed graphs
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In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign. A signed graph is balanced if the product of edge signs around every cycle is positive. The name "signed graph" and the notion of balance appeared first in a mathematical paper of Frank Harary in … See more The sign of a path is the product of the signs of its edges. Thus a path is positive only if there are an even number of negative edges in it (where zero is even). In the mathematical balance theory of Frank Harary, … See more Frustration index Give each vertex a value of +1 or −1; we call this a state of Σ. An edge is called satisfied if it is … See more There are two matroids associated with a signed graph, called the signed-graphic matroid (also called the frame matroid or sometimes bias matroid) and the lift matroid, both of … See more A vertex-signed graph, sometimes called a marked graph, is a graph whose vertices are given signs. A circle is called consistent (but this … See more Three fundamental questions about a signed graph are: Is it balanced? What is the largest size of a balanced edge set in it? What is the … See more Sometimes the signs are taken to be +1 and −1. This is only a difference of notation, if the signs are still multiplied around a circle and the sign of the product is the important thing. However, there are two other ways of treating the edge labels that do not fit into … See more As with unsigned graphs, there is a notion of signed graph coloring. Where a coloring of a graph is a mapping from the vertex set to the natural … See more WebMaking a slope chart in PowerPoint. Slope charts are an easy, simple and elegant way of displaying changes over two time points. Scrap the old-fashioned bar chart and move to something much more ...
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WebJan 1, 1982 · A signed graph is a graph with a sign attached to each arc. This article introduces the matroids of signed graphs, which generalize both the polygon matroids … Web1 day ago · The quarterback depth chart has returned to three for the New England Patriots. The organization signed free agent Trace McSorley on Thursday, according to the NFL transaction wire. McSorley, 27 ...
WebThe eigenvalues of signed graphs have been widely studied. Signed graphs with two (distinct) eigenvalues have been widely considered in [3, 6, 8, 10, 11]. In this paper, the eigenvalues of the signed Cartesian product of bipartite graph . K a, b and hypercube Q n, complete graph K m and hypercube Q n, which generalize Huang’s result when . a ...
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