In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges)...

vertex-connectivity, or just connectivity, of a graph is the largest k for which the graph is k-vertex-connected. A graph (other than a complete graph) has...

(vertex) connectivity of a graph, algebraic connectivity ≤ connectivity {\displaystyle {\text{algebraic connectivity}}\leq {\text{connectivity}}} , unless...

directed graph form a partition into subgraphs that are themselves strongly connected. It is possible to test the strong connectivity of a graph, or to...

connectivity algorithms maintain components as edges are inserted or deleted in a graph, in low time per change. In computational complexity theory,...

In graph theory, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion. Expander...

graph theory, a connected graph is k-edge-connected if it remains connected whenever fewer than k edges are removed. The edge-connectivity of a graph...

to t in the tree. Connectivity (graph theory) Graph cuts in computer vision Split (graph theory) Vertex separator Bridge (graph theory) Cutwidth "NetworkX...

In graph theory, a path in a graph is a finite or infinite sequence of edges which joins a sequence of vertices which, by most definitions, are all distinct...

In graph theory, the girth of an undirected graph is the length of a shortest cycle contained in the graph. If the graph does not contain any cycles (that...

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...

"'Challengers' Has Ignited 'Throuple' Discourse – One Polyamorous Couple Weighs In". www.kqed.org. Retrieved 2024-07-21. Connectivity (graph theory)...

Pixel connectivity, the way in which pixels in 2-dimensional images relate to their neighbors. Connectivity (graph theory), a property of a graph. The...

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...

computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...

platforms would be classified as a complex network. Connectivity (graph theory) – Basic concept of graph theory Robustness of complex networks – Ability of a...

geometric group theory. The structure and symmetry of Cayley graphs make them particularly good candidates for constructing expander graphs. Let G {\displaystyle...

In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. Equivalently...

the graph. The Cheeger inequality is a fundamental result and motivation for spectral graph theory. Spectral graph theory Algebraic connectivity Cheeger...

graph theory, a branch of mathematics, the rank of an undirected graph has two unrelated definitions. Let n equal the number of vertices of the graph...

of graph theory, an automorphism is a permutation of the vertices such that edges are mapped to edges and non-edges are mapped to non-edges. A graph is...

contributions to linear algebra, graph theory and algebraic graph theory. His article, "Algebraic Connectivity of Graphs", published in the Czechoslovak...

Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric...

In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V ( G ) → V ( H ) {\displaystyle f\colon V(G)\to...

far exceeds n, the number of nodes in the graph. The complement of st-connectivity, known as st-non-connectivity, is also in the class NL, since NL = coNL...

In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)...

linked to other popular nodes. Percolation theory on the random geometric graph (the study of its global connectivity) is sometimes called the Gilbert disk...

In the mathematical field of graph theory, a graph G is symmetric or arc-transitive if, given any two ordered pairs of adjacent vertices ( u 1 , v 1 )...

In the mathematical discipline of graph theory, Menger's theorem says that in a finite graph, the size of a minimum cut set is equal to the maximum number...

execution. The control-flow graph was conceived by Frances E. Allen, who noted that Reese T. Prosser used boolean connectivity matrices for flow analysis...