Slides
... does not revisit any nodes or edges. A simple cycle in a graph is a cycle that does not revisit any nodes or edges (except the start/end node). ...
... does not revisit any nodes or edges. A simple cycle in a graph is a cycle that does not revisit any nodes or edges (except the start/end node). ...
MULTICAST RECIPIENT MAXIMIZATION PROBLEM IN 802 16
... performance gain over are not observed because finding the minimal route independently does not achieve high resource utilization in not achieve high resource utilization in ...
... performance gain over are not observed because finding the minimal route independently does not achieve high resource utilization in not achieve high resource utilization in ...
Improving Planning Graph Analysis for Artificial Intelligence Planning
... precondition may appear in other ones that must be satisfied later. This situation is represented in figure 3 by the < product > variable, which is first instantiated in the third precondition, but it appears again in the last one. In this scenario, poor performance may be obtained if there are many ...
... precondition may appear in other ones that must be satisfied later. This situation is represented in figure 3 by the < product > variable, which is first instantiated in the third precondition, but it appears again in the last one. In this scenario, poor performance may be obtained if there are many ...
Matching in Graphs - CIS @ Temple University
... Efficient solutions methods exist to solve AP. AP can be formulated as an LP and solved by general purpose LP codes. However, there are many computer packages, which contain separate computer codes for these models which take advantage of the problem network structure. ...
... Efficient solutions methods exist to solve AP. AP can be formulated as an LP and solved by general purpose LP codes. However, there are many computer packages, which contain separate computer codes for these models which take advantage of the problem network structure. ...
High School Math Contest - University of South Carolina Mathematics
... So A is true if and only if x2 + y 2 = 0 mod 8 and it is easy to see that the latter holds if and only if (x, y) = (0, 0) or (x, y) = (2, 2). On the other hand, m3 + n3 = (4k + x)3 + (4l + y)3 = 12kx2 + 12ly 2 + x3 + y 3 ...
... So A is true if and only if x2 + y 2 = 0 mod 8 and it is easy to see that the latter holds if and only if (x, y) = (0, 0) or (x, y) = (2, 2). On the other hand, m3 + n3 = (4k + x)3 + (4l + y)3 = 12kx2 + 12ly 2 + x3 + y 3 ...
PDF - WordPress.com
... cycles present in the graph and locate suitable blockers positions and searcher paths. Optimal partitioning and merging techniques are being developed (Kolling & Carpin, 2007), which are the focus of this paper as well, since an improved partitioning strategy results in a simpler search tree and red ...
... cycles present in the graph and locate suitable blockers positions and searcher paths. Optimal partitioning and merging techniques are being developed (Kolling & Carpin, 2007), which are the focus of this paper as well, since an improved partitioning strategy results in a simpler search tree and red ...
2017 - Problems and Solutions
... These are the only possible choices, once we fix the thick edges, and they are all nonequivalent, since no rotation will keep the two thick edges in place. Furthermore, the first two tetrahedra each have a thick-thick-thin face, but the first one has a face with edges colored thick-thin-dashed (goin ...
... These are the only possible choices, once we fix the thick edges, and they are all nonequivalent, since no rotation will keep the two thick edges in place. Furthermore, the first two tetrahedra each have a thick-thick-thin face, but the first one has a face with edges colored thick-thin-dashed (goin ...
Document
... b) a simple quadrangle c) a simple cycle of length k. Hints: 1. In an acyclic graph all paths are simple. 2. In c) running time may be exponential in k. 3. Randomization makes solution much easier. ...
... b) a simple quadrangle c) a simple cycle of length k. Hints: 1. In an acyclic graph all paths are simple. 2. In c) running time may be exponential in k. 3. Randomization makes solution much easier. ...
Travelling salesman problem
The travelling salesman problem (TSP) asks the following question: Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city? It is an NP-hard problem in combinatorial optimization, important in operations research and theoretical computer science.TSP is a special case of the travelling purchaser problem and the Vehicle routing problem.In the theory of computational complexity, the decision version of the TSP (where, given a length L, the task is to decide whether the graph has any tour shorter than L) belongs to the class of NP-complete problems. Thus, it is possible that the worst-case running time for any algorithm for the TSP increases superpolynomially (perhaps, specifically, exponentially) with the number of cities.The problem was first formulated in 1930 and is one of the most intensively studied problems in optimization. It is used as a benchmark for many optimization methods. Even though the problem is computationally difficult, a large number of heuristics and exact methods are known, so that some instances with tens of thousands of cities can be solved completely and even problems with millions of cities can be approximated within a small fraction of 1%.The TSP has several applications even in its purest formulation, such as planning, logistics, and the manufacture of microchips. Slightly modified, it appears as a sub-problem in many areas, such as DNA sequencing. In these applications, the concept city represents, for example, customers, soldering points, or DNA fragments, and the concept distance represents travelling times or cost, or a similarity measure between DNA fragments. The TSP also appears in astronomy, as astronomers observing many sources will want to minimise the time spent slewing the telescope between the sources. In many applications, additional constraints such as limited resources or time windows may be imposed.