Property of graphs that depends only on abstract structure
An example graph, with the properties of being planar and being connected, and with order 6, size 7, diameter 3, girth 3, vertex connectivity 1, and degree sequence <3, 3, 3, 2, 2, 1>
In graph theory, a graph property or graph invariant is a property of graphs that depends only on the abstract structure, not on graph representations such as particular labellings or drawings of the graph.[1]
^Lovász, László (2012), "4.1 Graph parameters and graph properties", Large Networks and Graph Limits, Colloquium Publications, vol. 60, American Mathematical Society, pp. 41–42, ISBN 978-1-4704-1583-9.
In graph theory, a graphproperty or graph invariant is a property of graphs that depends only on the abstract structure, not on graph representations...
data model of "propertygraphs" or "attributed graphs " has emerged since the early 2000s as a common denominator of various models of graph-oriented databases...
specifications. The PropertyGraph model, on the other hand, has a multitude of implementations in graph databases, graph algorithms, and graph processing facilities...
topology, closed graph is a property of functions. A function f : X → Y between topological spaces has a closed graph if its graph is a closed subset...
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...
property testing algorithms are used to distinguish if some combinatorial structure S (such as a graph or a boolean function) satisfies some property...
A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key...
particular property of the graph is likely to arise. Different random graph models produce different probability distributions on graphs. Most commonly...
every graphproperty preserved by deletions and contractions may be recognized in polynomial time. Other results and conjectures involving graph minors...
embedding of the graph G, so it is a property of plane graphs (graphs that are already embedded in the plane) rather than planar graphs (graphs that may be...
3). Several theorems relate properties of the spectrum to other graphproperties. As a simple example, a connected graph with diameter D will have at...
biconnected graph has no articulation vertices. The property of being 2-connected is equivalent to biconnectivity, except that the complete graph of two vertices...
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect...
connected graph G can be recovered completely from its line graph. Many other properties of line graphs follow by translating the properties of the underlying...
vertices and edges Graph theory, the study of such graphs and their propertiesGraph (topology), a topological space resembling a graph in the sense of discrete...
mathematical fields of graph theory and finite model theory, the logic of graphs deals with formal specifications of graphproperties using sentences of mathematical...
other graph objects including profile links and stream updates for connected users. OpenGraph tags in HTML5 might look like this: <meta property="og:title"...
directed graph, each edge has an orientation, from one vertex to another vertex. A path in a directed graph is a sequence of edges having the property that...
context. These properties are particularly considered in topology and graph theory, but also in set theory. In topology, a topological property is said to...
mathematical field of graph theory, the term "null graph" may refer either to the order-zero graph, or alternatively, to any edgeless graph (the latter is sometimes...
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed...
many useful properties of a graph. Together with Kirchhoff's theorem, it can be used to calculate the number of spanning trees for a given graph. The sparsest...
In essence, extremal graph theory studies how global properties of a graph influence local substructure. Results in extremal graph theory deal with quantitative...
Global Information