shortest-route model - translation to russian
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shortest-route model - translation to russian

Shortest common supersequence; Shortest common superstring problem; Shortest common superstring

shortest-route model      

математика

модель выбора кратчайшего пути

shortest-route model      
модель выбора кратчайшего пути
shortest path algorithm         
PROBLEM OF FINDING A PATH BETWEEN TWO VERTICES (OR NODES) IN A GRAPH SUCH THAT THE SUM OF THE WEIGHTS OF ITS CONSTITUENT EDGES IS MINIMIZED
Shortest path; All pairs shortest path problem; All-pairs shortest path problem; All-pairs shortest path; All pairs shortest path; Shortest path algorithms; Shortest Path Algorithms; Shortest path algorithm; Single-destination shortest-path problem; Single-pair shortest-path problem; Single-source shortest-path problem; The Shortest Paths; Negative cycle; DAG shortest paths; Single destination shortest path problem; Single-destination shortest path problem; Singledestination shortest path problem; Single destination shortest-path problem; Singledestination shortest-path problem; Single destination shortestpath problem; Single-destination shortestpath problem; Singledestination shortestpath problem; Shortest-path problem; Shortestpath problem; Shortest-path; Shortestpath; Shortest path problems; Shortest-path problems; Shortestpath problems; Shortest paths; Shortest-paths; Shortestpaths; Single-source shortest path problem; Single source shortest path problem; Singlesource shortest path problem; Single source shortest-path problem; Singlesource shortest-path problem; Single source shortestpath problem; Single-source shortestpath problem; Singlesource shortestpath problem; Apsp; Shortest Path Problem; Shortest path routing; Shortest-path routing; Single-source shortest-paths algorithms for directed graphs with nonnegative weights; APSP; Shortest-path algorithms; Shortest-distance problems; Applications of shortest path algorithms; Algebraic path problem; Graph geodesic
алгоритм кратчайшего пути

Definition

Modelled

Wikipedia

Shortest common supersequence problem

In computer science, the shortest common supersequence of two sequences X and Y is the shortest sequence which has X and Y as subsequences. This is a problem closely related to the longest common subsequence problem. Given two sequences X = < x1,...,xm > and Y = < y1,...,yn >, a sequence U = < u1,...,uk > is a common supersequence of X and Y if items can be removed from U to produce X and Y.

A shortest common supersequence (SCS) is a common supersequence of minimal length. In the shortest common supersequence problem, two sequences X and Y are given, and the task is to find a shortest possible common supersequence of these sequences. In general, an SCS is not unique.

For two input sequences, an SCS can be formed from a longest common subsequence (LCS) easily. For example, the longest common subsequence of X [ 1.. m ] = a b c b d a b {\displaystyle [1..m]=abcbdab} and Y [ 1.. n ] = b d c a b a {\displaystyle [1..n]=bdcaba} is Z [ 1.. L ] = b c b a {\displaystyle [1..L]=bcba} . By inserting the non-LCS symbols into Z while preserving their original order, we obtain a shortest common supersequence U [ 1.. S ] = a b d c a b d a b {\displaystyle [1..S]=abdcabdab} . In particular, the equation L + S = m + n {\displaystyle L+S=m+n} holds for any two input sequences.

There is no similar relationship between shortest common supersequences and longest common subsequences of three or more input sequences. (In particular, LCS and SCS are not dual problems.) However, both problems can be solved in O ( n k ) {\displaystyle O(n^{k})} time using dynamic programming, where k {\displaystyle k} is the number of sequences, and n {\displaystyle n} is their maximum length. For the general case of an arbitrary number of input sequences, the problem is NP-hard.

What is the Russian for shortest-route model? Translation of &#39shortest-route model&#39 to Russian