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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.
The vertex-connectivity of an input graph G can be computed in polynomial time in the following way [4] consider all possible pairs (,) of nonadjacent nodes to disconnect, using Menger's theorem to justify that the minimal-size separator for (,) is the number of pairwise vertex-independent paths between them, encode the input by doubling each vertex as an edge to reduce to a computation of the ...
In the undirected edge-disjoint paths problem, we are given an undirected graph G = (V, E) and two vertices s and t, and we have to find the maximum number of edge-disjoint s-t paths in G. Menger's theorem states that the maximum number of edge-disjoint s-t paths in an undirected graph is equal to the minimum number of edges in an s-t cut-set.
The SENT protocol is a one-way, asynchronous voltage interface which requires three wires: a signal line (low state < 0.5 V, high state > 4.1 V), a supply voltage line (5 V) and a ground line. SENT uses pulse-width modulation to encode four bits (one nibble) per symbol.
Example part numbers are any of TE Connectivity / AMP 170204-* (loose pieces) or 170262-* (pieces supplied in strips), where * is 1 or 2 or 4. [ 2 ] [ 3 ] The male PCB connector on the 3½-inch floppy drive is normally a polarized right-angle male header, which is a TE Connectivity / AMP 171826-4, [ 4 ] the straight model is AMP 171825-4.
Through the introduction of sophisticated methods of coding and transmitting data, EDGE delivers higher bit-rates per radio channel, resulting in a threefold increase in capacity and performance compared with an ordinary GSM/GPRS connection - originally a max speed of 384 kbit/s. [2] EDGE can be used for any packet switched application, such as ...
Immediately after the start code, a 4-bit house code (normally represented by the letters A to P on interface units) appears, and after the house code comes a 5-bit function code. Function codes may specify a unit number code (1–16) or a command code. The unit number or command code occupies the first 4 of the 5 bits.