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The approximation ratio is defined as the ratio of the computed solution length to the optimal length for a worst-case instance, one that maximizes this ratio. Because the NP-hardness reduction for the k-minimum spanning tree problem preserves the weight of all solutions, it also preserves the hardness of approximation of the problem.
In graph theory, the metric k-center problem or vertex k-center problem is a classical combinatorial optimization problem studied in theoretical computer science that is NP-hard. Given n cities with specified distances, one wants to build k warehouses in different cities and minimize the maximum distance of a city to a warehouse.
In computer science, instruction selection is the stage of a compiler backend that transforms its middle-level intermediate representation (IR) into a low-level IR. In a typical compiler, instruction selection precedes both instruction scheduling and register allocation; hence its output IR has an infinite set of pseudo-registers (often known as temporaries) and may still be – and typically ...
The graph K is called invariant or sometimes the gluing graph. A rewriting step or application of a rule r to a host graph G is defined by two pushout diagrams both originating in the same morphism:, where D is a context graph (this is where the name double-pushout comes from).
Just as a graph C*-algebra can be associated to a directed graph, a universal C*-algebra can be associated to a -graph. Let Λ {\displaystyle \Lambda } be a row-finite k {\displaystyle k} -graph with no sources then a Cuntz–Krieger Λ {\displaystyle \Lambda } -family or a represenentaion of Λ {\displaystyle \Lambda } in a C*-algebra B is a ...
Ragel is a finite-state machine compiler and a parser generator. Initially Ragel supported output for C, C++ and Assembly source code, [4] later expanded to support several other languages including Objective-C, D, Go, Ruby, and Java. [5] Additional language support is also in development. [6]
The version of C that it describes is commonly referred to as "K&R C". As this was released in 1978, it is now also referred to as C78. [19] The second edition of the book [20] covers the later ANSI C standard, described below. K&R introduced several language features: Standard I/O library; long int data type; unsigned int data type
A graph is k-edge-connected if and only if the maximum flow from u to v is at least k for any pair (u,v), so k is the least u-v-flow among all (u,v). If n is the number of vertices in the graph, this simple algorithm would perform O ( n 2 ) {\displaystyle O(n^{2})} iterations of the Maximum flow problem, which can be solved in O ( n 3 ...