Glossary
- Directed Graph:
-
A set of nodes and edges connecting the nodes with directions
- Path:
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An alternating sequence of nodes and edges that begins from a start node and ends at an end node, such that from each of its nodes (expect for the end node) there is an edge to the next node in the sequence
Definition
Consider a directed graph G = (V, E) (Diestel 2005), where V is the set of all nodes and E is the set of all edges. Assume that G has no self-loops. A directed edge e in G is denoted as e = (x, y), where x and y are nodes of G and an arc is directed from x to y. Each edge e has a positive weight, denoted ωe, associated with it.
Connected/Weakly Connected
In an undirected graph G, two nodes u and Ï… are called connected if G contains a path from u to Ï…. An undirected graph is called connected if every pair of distinct nodes in the graph is connected. A directed graph is...
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This entry was supported by National Science Foundation (NSF) via grant numbers CCF-1018151, IIS-1256016, and DUE-1241315.
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Li, Z., Xiong, H. (2018). Mining Blackhole and Volcano Patterns for Fraud Detection. In: Alhajj, R., Rokne, J. (eds) Encyclopedia of Social Network Analysis and Mining. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7131-2_282
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