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Encyclopedia of Social Network Analysis and Mining pp 2492–2501Cite as

Signed Graphs

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Synonyms

Biased graph; Gain graph; Signed network

Glossary

Arc:

An ordered pair of nodes adjacent in the graph

Cycle:

A loop of at least three nodes in which the first node and the last node are the same

Digraph:

A graph in which all relations are directed

Dyad:

A pair of nodes and the incidence relation between them

Edge:

A pair of nodes adjacent in the graph

Graph:

A data structure consisting of a set of nodes, and a set of pairs of nodes, called edges or arcs

Loop:

A walk in the graph in which all edges are distinct

Path:

A walk in the graph in which all edges and nodes are distinct

Sociomatrix:

Representation of the incidence relation as a two-dimensional matrix in which rows and columns represent nodes, and cells represent relation values

Triad:

A triple of nodes and all incidence relations between them

Valence:

Semantic orientation of an edge in a signed graph

Definition

Given a set of nodes N = {n1,..., nm} and a set of edges E = {e1,..., en}, where each edge is a pair of...

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Author information

Authors and Affiliations

  1. Institute of Computing Science, Poznan University of Technology, Poznań, Poland

    Krzysztof Stefaniak & Mikołaj Morzy

Authors
  1. Krzysztof Stefaniak
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  2. Mikołaj Morzy
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Corresponding author

Correspondence to Mikołaj Morzy .

Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Calgary, Calgary, AB, Canada

    Reda Alhajj

  2. Department of Computer Science, University of Calgary, Calgary, AB, Canada

    Jon Rokne

Section Editor information

  1. Faculty of Computer Science and Management, Department of Computational Intelligence, Wroclaw University of Science and Technology, Wrocław, Poland

    Przemyslaw Kazienko

  2. Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, Szczecin, Poland

    Jaroslaw Jankowski

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Stefaniak, K., Morzy, M. (2018). Signed Graphs. 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_251

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