In graph theory, a minimum cut or min-cut of a graph is a cut (a partition of the vertices of a graph into two disjoint subsets) that is minimal in some...

the source to the sink is equal to the total weight of the edges in a minimum cut, i.e., the smallest total weight of the edges which if removed would...

have any other cut-set as a proper subset. A cut is minimum if the size or weight of the cut is not larger than the size of any other cut. The illustration...

In mathematics, the minimum k-cut is a combinatorial optimization problem that requires finding a set of edges whose removal would partition the graph...

graph theory, Karger's algorithm is a randomized algorithm to compute a minimum cut of a connected graph. It was invented by David Karger and first published...

theory, the Stoer–Wagner algorithm is a recursive algorithm to solve the minimum cut problem in undirected weighted graphs with non-negative weights. It was...

than one edge is of minimum weight across a cut, then each such edge is contained in some minimum spanning tree. If the minimum cost edge e of a graph...

The weighted max-cut problem allowing both positive and negative weights can be trivially transformed into a weighted minimum cut problem by flipping...

in making a cut. Multiple cuts may also be allowed. According to Parlett, a sensible minimum cut size is about one-fifth of the deck. A cut should be completed...

in turn, is the size of a minimum cut in the network G ∞ ′ {\displaystyle G'_{\infty }} , as follows from the max-flow min-cut theorem. Let ( S , T ) {\displaystyle...

In the United States, the minimum wage is set by U.S. labor law and a range of state and local laws. The first federal minimum wage was instituted in the...

introduced minimum wage legislation by the end of the 20th century. Because minimum wages increase the cost of labor, companies often try to avoid minimum wage...

for dividing networks into parts is the minimum cut method (and variants such as ratio cut and normalized cut). This method sees use, for example, in...

the theory of flow networks. Thanks to the max-flow min-cut theorem, determining the minimum cut over a graph representing a flow network is equivalent...

theory, Menger's theorem says that in a finite graph, the size of a minimum cut set is equal to the maximum number of disjoint paths that can be found...

only 2 nodes remain obtain the corresponding cut result Ci i = i + 1 until i = m output the minimum cut among C1, C2, ..., Cm. end In each execution of...

approaches to image segmentation applying graph partitioning via minimum cut or maximum cut. Segmentation-based object categorization can be viewed as a specific...

of nonzero values The max-flow min-cut theorem equates the value of a maximum flow to the value of a minimum cut, a partition of the vertices of the...

with the relationship between maximum flow rate ("max-flow") and minimum cut ("min-cut") in a multi-commodity flow problem. The theorems have enabled the...

problem of computing this ordering and the cutwidth, have been called minimum cut linear arrangement. Cutwidth is related to several other width parameters...

et al. (2013). Two common examples of graph partitioning are minimum cut and maximum cut problems. Typically, graph partition problems fall under the...

t) is equal to the minimum capacity of an s-t cut (i.e., cut severing s from t) in the network, as stated in the max-flow min-cut theorem. The maximum...

excellence category of competition. Also in 2015, the CMP established minimum cut scores that must be achieved for a given weapon in the authorized excellence...

max-flow min-cut theorem, define a minimal cut of the graph). Under most formulations of such problems in computer vision, the minimum energy solution...

becomes disconnected, the more similar the vertices in this graph. Minimum cut is a minimum set of edges without which the graph will become disconnected....

notches and a shorter minimum cut-off (allowing efficiency at high speeds at the expense of tractive effort). If the minimum cut-off provided for by the...

(2024-07-18). "JAMB adopts 140 as minimum cut-off mark for 2024 varsity admissions". TheCable. Retrieved 2024-09-02. "JAMB Cut Off Mark 2024/2025 for All School...

after having his 18 year minimum cut by two years in 2002. McNeilly was paroled in 2015, after having her 25 year minimum cut by one year, and being described...

variations): Cycle canceling: a general primal method. Cut canceling: a general dual method. Minimum mean cycle canceling: a simple strongly polynomial algorithm...

Karger, David R.; Stein, Clifford (July 1996). "A New Approach to the Minimum Cut Problem". J. ACM. 43 (4): 601–640. doi:10.1145/234533.234534. ISSN 0004-5411...