In graph theory, abridge,isthmus,cut-edge, orcut arcis an edge of a graph whose deletion increases its number of connected components. Equivalently, an edge is a bridge if and only if it is not contained in any cycle. A graph is said to bebridgelessoristhmus-freeif it contains no brid...
In graph theory, there are some terms related to a cut that will occur during this discussion: cut set, cut vertex, and cut edge. Before going further, let’s discuss these definitions here. A cut set of a cut of a connected graph can be defined as the set of edges that have one ...
A balloon in a graph G is a maximal 2-edge-connected subgraph incident to exactly one cut-edge of G. Let b(G) be the number of balloons, let c(G) be the number of cut-edges, and let α′(G) be the maximum size of a matching. Let , we prove the sharp inequalities c(G)...
Consider the following slightly different probabilistic process: in addition to our graph over vertices , we also consider a countably infinite number of other vertices . We sample an infinite super-graph of our graph over this larger vertex set, so that each possible edge has probability of be...
An edge cut (Holton and Sheehan 1993, p. 14; West 2000, p. 152), edge cut set, edge cutset (Holton and Sheehan 1993, p. 14), or sometimes simply "cut set" or "cutset" (e.g., Harary 1994, p. 38) of a connected graph, is a set of edges of which, if removed
the act of penetrating or opening open with a sharp edge; "his cut in the lining revealed the hidden jewels" noun the act of reducing the amount or number; "the mayor proposed extensive cuts in the city budget" noun the act of shortening something by chopping off the ends; "the ...
GraphTheory MinCut find a minimal cut that separates two vertices Calling Sequence Parameters Options Description Examples Compatibility Calling Sequence MinCut( G , s , t ) Parameters G - graph s, t - vertices of the graph Options flows = Matrix The...
A network is a directed graph with non-negative real-valued edge labels and two ded- icated vertices, the source and the sink... A Lochbihler 被引量: 2发表: 2016年 Max-flow min-cut theorem in quantum computing The max-flow min-cut theorem in graph theory states that the maximum flow...
is fashioned in. I like the cut of that suit. Shakespeare with eyes severe and beard of formal cut A slab, especially of meat. That’s our finest cut of meat. (fencing) An attack made with a chopping motion of the blade, landing with its edge or point. A deliberate snub, ...
Extremal Edge-Girth-Regular Graphs Article 13 July 2021 Sufficient conditions for k-factor-critical graphs and spanning k-trees of graphs Article 08 March 2025 References Akiyama, J., Kano, M.: Factors and factorizations of graphs—a survey. J. Graph Theory 9, 1–42 (1985) MathSciNet...