The Symmetry in Graphs and Networks
The Symmetry in Graphs and Networks: Methods and Applications
Symmetry in graphs and networks is a very important concept in algebraic graph theory, network design, and computer science. Furthermore, it has close ...
Symmetries of Graphs and Networks
Vertex-transitive graphs also provide a beautiful context in which to study many of the general problems of graph theory; beautiful not only because of the ...
Symmetries of Graphs and Networks - Resources
Symmetries of Graphs and Networks Workshop ; Pablo Spiga ; Slides of Pablo's talk "CI-groups with respect to ternary relational structures". ; Alison Thomson.
Exploiting symmetry in network analysis | Communications Physics
Crucially, network symmetries are inherited by any measure or metric on the network, that is, any structural measurement between pairs of ...
Symmetry in Graphs - Cambridge University Press & Assessment
... symmetry and network theory, with extensive lists of exercises at the end of each chapter, and important research problems on graph symmetry discussed ...
(PDF) Symmetries of Graphs and Networks | Brian Alspach
Abstract. The concept of symmetries in graphs is well understood: a symmetry of a graph is simply an automorphism of the graph. There are well-known techniques ...
In other words, a graph is symmetric if its automorphism group acts transitively on ordered pairs of adjacent vertices (that is, upon edges considered as having ...
Symmetric graphs and interconnection networks - ScienceDirect.com
It is known that the symmetric properties of a graph (such as the vertex regularity, vertex transitivity, edge transitivity, arc transitivity) are the better ...
4 Types of Ties and Their Graphs - Social Networks
Networks composed of symmetric ties have some interesting properties. If we know that the relationship (R) linking two nodes A and B is symmetric, then only a ...
(PDF) Symmetry in Complex Networks - ResearchGate
In this paper, we analyze a few interrelated concepts about graphs, such as their degree, entropy, or their symmetry/asymmetry levels.
[1808.05166] Generating Graphs with Symmetry - arXiv
Unfortunately, most graph generating algorithms do not typically create graphs with symmetries, which have been shown to have an important role ...
Symmetric graphs and interconnection networks - ACM Digital Library
In this paper, we study a subclass of pentavalent symmetric graphs of cube-free order, that is, the case of order 36p, where p is a prime.
Symmetry graphs | Discrete mathematics, information theory and ...
This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with ...
Generating Graphs with Symmetry | IEEE Journals & Magazine
Abstract: In the field of complex networks and graph theory, new results are typically tested on graphs generated by a variety of algorithms ...
Symmetry in Algorithmic Graph Theory and Interconnection Networks
A graph consists of a set of vertices (nodes) and edges (connections) that link these vertices. Graph theory provides a powerful framework for analyzing and ...
3.3 Symmetric Relations and Undirected Graphs | Social Networks
In terms of network theory, this means that if we know that the relationship (R) linking two nodes A and B is symmetric, then only a single edge exists that ...
Flow Graphs: Why do you need the symmetry property of a graph?
Why is the property of symmetry required and not contained in the conservation of flow? For instance, if the flow must sum to zero for a set of ...
Complex Networks and Symmetry I: A Review - Semantic Scholar
It is argued that real networks, as any entity characterized by imperfections or errors, necessarily require a stochastic notion of invariance, and a ...
Complex Networks and Symmetry I: A Review - arXiv
We therefore propose a definition of stochastic symmetry based on graph ensembles and use it to review the main results of network theory from.
SYMMETRY-DRIVEN GRAPH NEURAL NETWORKS - OpenReview
In this paper, we in- troduce two graph network architectures that are equivariant to several types of transformations affecting the node coordinates. First, we ...