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The vertex-connectivity statement of Menger's theorem is as follows: . Let G be a finite undirected graph and x and y two nonadjacent vertices. Then the size of the minimum vertex cut for x and y (the minimum number of vertices, distinct from x and y, whose removal disconnects x and y) is equal to the maximum number of pairwise internally disjoint paths from x to y.
The edge connectivity of is the maximum value k such that G is k-edge-connected. The smallest set X whose removal disconnects G is a minimum cut in G . The edge connectivity version of Menger's theorem provides an alternative and equivalent characterization, in terms of edge-disjoint paths in the graph.
In computer science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from 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 disconnect the source from the sink.
Let Π ⊆ R n be the Euclidean plane spanned by x, y and z and let C ⊆ Π be the unique Euclidean circle in Π that passes through x, y and z (the circumcircle of x, y and z). Let R be the radius of C. Then the Menger curvature c(x, y, z) of x, y and z is defined by (,,) =.
Verified for iOS 9.3 and later. 1. Double press the Home button or swipe up and hold. 2. Swipe up on the image of the app. 3. Re-launch the app and attempt to reproduce the issue.
A variant, so called Compact-EDGE, was developed for use in a portion of Digital AMPS network spectrum. [3] EDGE is part of ITU's 3G definition. [4] Evolved EDGE continues in release 7 of the 3GPP standard providing reduced latency and more than doubled performance e.g. to complement High-Speed Packet Access . Peak bit-rates of up to 1 Mbit/s ...
In iOS 7, it replaces the control pages found in previous versions. It gives iOS and iPadOS devices direct access to important settings for the device by swiping down from the top right corner on the iPhone X and newer, and on all iPad models starting with iOS 12 or iPadOS, with previous models using a swipe from the bottom of the screen.
The XS, which is visually near-identical to the iPhone X, has a better system-on-a-chip: the A12 Bionic chip built with a 7 nm process. [20] It has a 5.85 inch (149 mm) OLED display (marketed as 5.8 inch) with a resolution of 2436 × 1125 pixels (2.7 megapixels) at 458 ppi, dual 12-megapixel rear cameras, and one 7-megapixel front-facing camera.