diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html index 2aa021c5b..42733d5cf 100644 --- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html +++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html @@ -232,6 +232,7 @@ Graph
  • Prim
  • Topological Sort
  • Topological Sort By Kahns Algo
    • +
  • Travelling Salesman Problem

    • Graphics

    diff --git a/d6/d5c/travelling__salesman__problem_8cpp__incl.map b/d6/d5c/travelling__salesman__problem_8cpp__incl.map new file mode 100644 index 000000000..d8119bd33 --- /dev/null +++ b/d6/d5c/travelling__salesman__problem_8cpp__incl.map @@ -0,0 +1,8 @@ + + + + + + + + diff --git a/d6/d5c/travelling__salesman__problem_8cpp__incl.md5 b/d6/d5c/travelling__salesman__problem_8cpp__incl.md5 new file mode 100644 index 000000000..429d29d65 --- /dev/null +++ b/d6/d5c/travelling__salesman__problem_8cpp__incl.md5 @@ -0,0 +1 @@ +9eb6fbbc694d07c6e80d047f4ede7e56 \ No newline at end of file diff --git a/d6/d5c/travelling__salesman__problem_8cpp__incl.svg b/d6/d5c/travelling__salesman__problem_8cpp__incl.svg new file mode 100644 index 000000000..1716c1d7c --- /dev/null +++ b/d6/d5c/travelling__salesman__problem_8cpp__incl.svg @@ -0,0 +1,98 @@ + + + + + + +graph/travelling_salesman_problem.cpp + + + +Node1 + + +graph/travelling_salesman +_problem.cpp + + + + + +Node2 + + +algorithm + + + + + +Node1->Node2 + + + + + +Node3 + + +cassert + + + + + +Node1->Node3 + + + + + +Node4 + + +iostream + + + + + +Node1->Node4 + + + + + +Node5 + + +limits + + + + + +Node1->Node5 + + + + + +Node6 + + +vector + + + + + +Node1->Node6 + + + + + diff --git a/de/d88/travelling__salesman__problem_8cpp.html b/de/d88/travelling__salesman__problem_8cpp.html new file mode 100644 index 000000000..acddc17fc --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp.html @@ -0,0 +1,244 @@ + + + + + + + +Algorithms_in_C++: graph/travelling_salesman_problem.cpp File Reference + + + + + + + + + + + + + + + +
    +
    + + + + + + +
    +
    Algorithms_in_C++ 1.0.0 +
    +
    Set of algorithms implemented in C++.
    +
    +
    + + + + + + + +
    +
    + +
    +
    +
    + +
    + +
    +
    + + +
    + +
    + +
    +
    +Namespaces | +Functions
    +
    travelling_salesman_problem.cpp File Reference
    +
    +
    + +

    Travelling Salesman Problem implementation +More...

    +
    #include <algorithm>
    +#include <cassert>
    +#include <iostream>
    +#include <limits>
    +#include <vector>
    +
    +Include dependency graph for travelling_salesman_problem.cpp:
    +
    +
    +
    +
    +
    + + + + +

    +Namespaces

    namespace  graph
     Graph Algorithms.
     
    + + + + + + + + + + +

    +Functions

    int graph::TravellingSalesmanProblem (std::vector< std::vector< uint32_t > > *cities, int32_t src, uint32_t V)
     Function calculates the minimum path distance that will cover all the cities starting from the source. More...
     
    static void tests ()
     Self-test implementations. More...
     
    int main ()
     Main function. More...
     
    +

    Detailed Description

    +

    Travelling Salesman Problem implementation

    +
    Author
    Mayank Mamgain
    +

    Travelling salesman problem asks: 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? TSP can be modeled as an undirected weighted graph, such that cities are the graph's vertices, paths are the graph's edges, and a path's distance is the edge's weight. It is a minimization problem starting and finishing at a specified vertex after having visited each other vertex exactly once. This is the naive implementation of the problem.

    +

    Function Documentation

    + +

    ◆ main()

    + +
    +
    + + + + + + + + +
    int main (void )
    +
    + +

    Main function.

    +
    Returns
    0 on exit
    +
    104 {
    +
    105 tests(); // run self-test implementations
    +
    106 std::vector<std::vector<uint32_t>> cities = {
    +
    107 {0, 5, 10, 15}, {5, 0, 20, 30}, {10, 20, 0, 35}, {15, 30, 35, 0}};
    +
    108 uint32_t V = cities.size();
    +
    109 std::cout << graph::TravellingSalesmanProblem(&cities, 0, V) << std::endl;
    +
    110 return 0;
    +
    111}
    + +
    std::endl
    T endl(T... args)
    +
    graph::TravellingSalesmanProblem
    int TravellingSalesmanProblem(std::vector< std::vector< uint32_t > > *cities, int32_t src, uint32_t V)
    Function calculates the minimum path distance that will cover all the cities starting from the source...
    Definition: travelling_salesman_problem.cpp:40
    +
    std::vector::size
    T size(T... args)
    +
    tests
    static void tests()
    Self-test implementations.
    Definition: travelling_salesman_problem.cpp:77
    + +
    +Here is the call graph for this function:
    +
    +
    +
    +
    + +
    +
    + +

    ◆ tests()

    + +
    +
    + + + + + +
    + + + + + + + +
    static void tests ()
    +     		+static
    +
    + +

    Self-test implementations.

    +
    Returns
    void
    +
    77 {
    +
    78 std::cout << "Initiatinig Predefined Tests..." << std::endl;
    +
    79 std::cout << "Initiating Test 1..." << std::endl;
    +
    80 std::vector<std::vector<uint32_t>> cities = {
    +
    81 {0, 20, 42, 35}, {20, 0, 30, 34}, {42, 30, 0, 12}, {35, 34, 12, 0}};
    +
    82 uint32_t V = cities.size();
    +
    83 assert(graph::TravellingSalesmanProblem(&cities, 0, V) == 97);
    +
    84 std::cout << "1st test passed..." << std::endl;
    +
    85
    +
    86 std::cout << "Initiating Test 2..." << std::endl;
    +
    87 cities = {{0, 5, 10, 15}, {5, 0, 20, 30}, {10, 20, 0, 35}, {15, 30, 35, 0}};
    +
    88 V = cities.size();
    +
    89 assert(graph::TravellingSalesmanProblem(&cities, 0, V) == 75);
    +
    90 std::cout << "2nd test passed..." << std::endl;
    +
    91
    +
    92 std::cout << "Initiating Test 3..." << std::endl;
    +
    93 cities = {
    +
    94 {0, 10, 15, 20}, {10, 0, 35, 25}, {15, 35, 0, 30}, {20, 25, 30, 0}};
    +
    95 V = cities.size();
    +
    96 assert(graph::TravellingSalesmanProblem(&cities, 0, V) == 80);
    +
    97 std::cout << "3rd test passed..." << std::endl;
    +
    98}
    +
    +Here is the call graph for this function:
    +
    +
    +
    +
    + +
    +
    +
    +
    + + + + diff --git a/de/d88/travelling__salesman__problem_8cpp.js b/de/d88/travelling__salesman__problem_8cpp.js new file mode 100644 index 000000000..d42de4c15 --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp.js @@ -0,0 +1,6 @@ +var travelling__salesman__problem_8cpp = +[ + [ "main", "de/d88/travelling__salesman__problem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "tests", "de/d88/travelling__salesman__problem_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e", null ], + [ "TravellingSalesmanProblem", "de/d88/travelling__salesman__problem_8cpp.html#ab7706341d006e20d1ae58274187a3346", null ] +]; \ No newline at end of file diff --git a/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.map b/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.map new file mode 100644 index 000000000..f5de7de79 --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.map @@ -0,0 +1,10 @@ + + + + + + + + + + diff --git a/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.md5 b/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.md5 new file mode 100644 index 000000000..c3acabaef --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.md5 @@ -0,0 +1 @@ +d83aa837c67012e103150c07d0e26e71 \ No newline at end of file diff --git a/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.svg b/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.svg new file mode 100644 index 000000000..742816848 --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp_a483bb8ccf42aaf7375a83e91490eda1e_cgraph.svg @@ -0,0 +1,128 @@ + + + + + + +tests + + + +Node1 + + +tests + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + +Node3 + + +std::vector::size + + + + + +Node1->Node3 + + + + + +Node4 + + +graph::TravellingSalesman +Problem + + + + + +Node1->Node4 + + + + + +Node5 + + +std::vector::begin + + + + + +Node4->Node5 + + + + + +Node6 + + +std::vector::end + + + + + +Node4->Node6 + + + + + +Node7 + + +std::min + + + + + +Node4->Node7 + + + + + +Node8 + + +std::vector::push_back + + + + + +Node4->Node8 + + + + + diff --git a/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map new file mode 100644 index 000000000..b97b0bd25 --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -0,0 +1,11 @@ + + + + + + + + + + + diff --git a/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..88e1ea86d --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +313714e979e2260fda90c61ddaba8afe \ No newline at end of file diff --git a/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..02cb9baa4 --- /dev/null +++ b/de/d88/travelling__salesman__problem_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,161 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + +Node3 + + +std::vector::size + + + + + +Node1->Node3 + + + + + +Node4 + + +tests + + + + + +Node1->Node4 + + + + + +Node5 + + +graph::TravellingSalesman +Problem + + + + + +Node1->Node5 + + + + + +Node4->Node2 + + + + + +Node4->Node3 + + + + + +Node4->Node5 + + + + + +Node6 + + +std::vector::begin + + + + + +Node5->Node6 + + + + + +Node7 + + +std::vector::end + + + + + +Node5->Node7 + + + + + +Node8 + + +std::min + + + + + +Node5->Node8 + + + + + +Node9 + + +std::vector::push_back + + + + + +Node5->Node9 + + + + + diff --git a/df/dce/namespacegraph.html b/df/dce/namespacegraph.html index fc2960e6c..8ed34f6c9 100644 --- a/df/dce/namespacegraph.html +++ b/df/dce/namespacegraph.html @@ -138,13 +138,17 @@ Functions int dijkstra (std::vector< std::vector< std::pair< int, int > > > *adj, int s, int t)  Function runs the dijkstra algorithm for some source vertex and target vertex in the graph and returns the shortest distance of target from the source. More...
      +int TravellingSalesmanProblem (std::vector< std::vector< uint32_t > > *cities, int32_t src, uint32_t V) + Function calculates the minimum path distance that will cover all the cities starting from the source. More...
    + 

    Detailed Description

    Graph Algorithms.

    for std::vector

    Graph algorithms.

    for IO operations for std::set

    -

    Graph Algorithms

    +

    Graph Algorithms

    +

    for std::min for assert for IO operations for limits of integral types for std::vector

    Function Documentation

    ◆ addEdge() [1/3]

    @@ -628,6 +632,91 @@ Here is the call graph for this function: + + + +

    ◆ TravellingSalesmanProblem()

    + +
    +
    + + + + + + + + + + + + + + + + + + + + + + + + +
    int graph::TravellingSalesmanProblem (std::vector< std::vector< uint32_t > > * cities,
    int32_t src,
    uint32_t V 
    )
    +
    + +

    Function calculates the minimum path distance that will cover all the cities starting from the source.

    +
    Parameters
    + + + + +
    citiesmatrix representation of cities
    srcPoint from where salesman is starting
    Vnumber of vertices in the graph
    +
    +
    +
    41 {
    +
    42 //// vtx stores the vertexs of the graph
    +
    43 std::vector<uint32_t> vtx;
    +
    44 for (uint32_t i = 0; i < V; i++) {
    +
    45 if (i != src) {
    +
    46 vtx.push_back(i);
    +
    47 }
    +
    48 }
    +
    49
    +
    50 //// store minimum weight Hamiltonian Cycle.
    +
    51 int32_t min_path = 2147483647;
    +
    52 do {
    +
    53 //// store current Path weight(cost)
    +
    54 int32_t curr_weight = 0;
    +
    55
    +
    56 //// compute current path weight
    +
    57 int k = src;
    +
    58 for (int i : vtx) {
    +
    59 curr_weight += (*cities)[k][i];
    +
    60 k = i;
    +
    61 }
    +
    62 curr_weight += (*cities)[k][src];
    +
    63
    +
    64 //// update minimum
    +
    65 min_path = std::min(min_path, curr_weight);
    +
    66
    +
    67 } while (next_permutation(vtx.begin(), vtx.end()));
    +
    68
    +
    69 return min_path;
    +
    70}
    +
    std::vector::begin
    T begin(T... args)
    +
    std::vector::end
    T end(T... args)
    +
    std::min
    T min(T... args)
    +
    std::next_permutation
    T next_permutation(T... args)
    +
    std::vector::push_back
    T push_back(T... args)
    +
    +Here is the call graph for this function:
    +
    +
    +
    +
    +
    diff --git a/df/dce/namespacegraph.js b/df/dce/namespacegraph.js index 3a5aafef3..0f4f1723e 100644 --- a/df/dce/namespacegraph.js +++ b/df/dce/namespacegraph.js @@ -29,5 +29,6 @@ var namespacegraph = [ "dijkstra", "df/dce/namespacegraph.html#adc68cbc8ba09eb1142265935c0d45b84", null ], [ "explore", "df/dce/namespacegraph.html#a3ae80bc4c6a79d041b4f3a6589eb7fb8", null ], [ "explore", "df/dce/namespacegraph.html#a64c1db5aad7502c6f08e4652f6edd463", null ], - [ "getConnectedComponents", "df/dce/namespacegraph.html#a83ab16e96cec644109a58dfc9329bc2b", null ] + [ "getConnectedComponents", "df/dce/namespacegraph.html#a83ab16e96cec644109a58dfc9329bc2b", null ], + [ "TravellingSalesmanProblem", "df/dce/namespacegraph.html#ab7706341d006e20d1ae58274187a3346", null ] ]; \ No newline at end of file diff --git a/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.map b/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.map new file mode 100644 index 000000000..569399f51 --- /dev/null +++ b/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.md5 b/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.md5 new file mode 100644 index 000000000..df617f156 --- /dev/null +++ b/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.md5 @@ -0,0 +1 @@ +9b141b75fd83c17d6f837d29ee123bac \ No newline at end of file diff --git a/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.svg b/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.svg new file mode 100644 index 000000000..4c24a60df --- /dev/null +++ b/df/dce/namespacegraph_ab7706341d006e20d1ae58274187a3346_cgraph.svg @@ -0,0 +1,83 @@ + + + + + + +graph::TravellingSalesmanProblem + + + +Node1 + + +graph::TravellingSalesman +Problem + + + + + +Node2 + + +std::vector::begin + + + + + +Node1->Node2 + + + + + +Node3 + + +std::vector::end + + + + + +Node1->Node3 + + + + + +Node4 + + +std::min + + + + + +Node1->Node4 + + + + + +Node5 + + +std::vector::push_back + + + + + +Node1->Node5 + + + + + diff --git a/dir_12552d7fa429bf94a2e32e5cf39f7e69.html b/dir_12552d7fa429bf94a2e32e5cf39f7e69.html index d4d946ec9..c48aa4d4f 100644 --- a/dir_12552d7fa429bf94a2e32e5cf39f7e69.html +++ b/dir_12552d7fa429bf94a2e32e5cf39f7e69.html @@ -129,6 +129,9 @@ Files file  lowest_common_ancestor.cpp  Data structure for finding the lowest common ancestor of two vertices in a rooted tree using binary lifting.
      +file  travelling_salesman_problem.cpp + Travelling Salesman Problem implementation
    +  diff --git a/dir_12552d7fa429bf94a2e32e5cf39f7e69.js b/dir_12552d7fa429bf94a2e32e5cf39f7e69.js index 459411d1f..9d8cba6fc 100644 --- a/dir_12552d7fa429bf94a2e32e5cf39f7e69.js +++ b/dir_12552d7fa429bf94a2e32e5cf39f7e69.js @@ -10,5 +10,6 @@ var dir_12552d7fa429bf94a2e32e5cf39f7e69 = [ "hamiltons_cycle.cpp", "dd/d0c/hamiltons__cycle_8cpp.html", "dd/d0c/hamiltons__cycle_8cpp" ], [ "hopcroft_karp.cpp", "d1/d9a/hopcroft__karp_8cpp.html", "d1/d9a/hopcroft__karp_8cpp" ], [ "is_graph_bipartite.cpp", "d6/dd8/is__graph__bipartite_8cpp.html", "d6/dd8/is__graph__bipartite_8cpp" ], - [ "lowest_common_ancestor.cpp", "de/dde/lowest__common__ancestor_8cpp.html", "de/dde/lowest__common__ancestor_8cpp" ] + [ "lowest_common_ancestor.cpp", "de/dde/lowest__common__ancestor_8cpp.html", "de/dde/lowest__common__ancestor_8cpp" ], + [ "travelling_salesman_problem.cpp", "de/d88/travelling__salesman__problem_8cpp.html", "de/d88/travelling__salesman__problem_8cpp" ] ]; \ No newline at end of file diff --git a/files.html b/files.html index 12c4368b1..0d03cac30 100644 --- a/files.html +++ b/files.html @@ -172,6 +172,7 @@ solve-a-rat-in-a-maze-c-java-pytho/"  hopcroft_karp.cppImplementation of Hopcroft–Karp algorithm  is_graph_bipartite.cppAlgorithm to check whether a graph is bipartite  lowest_common_ancestor.cppData structure for finding the lowest common ancestor of two vertices in a rooted tree using binary lifting + travelling_salesman_problem.cppTravelling Salesman Problem implementation  ► graphics  spirograph.cppImplementation of Spirograph  ► greedy_algorithms diff --git a/globals_func_i.html b/globals_func_i.html index 949f0ba6e..2b237a201 100644 --- a/globals_func_i.html +++ b/globals_func_i.html @@ -103,8 +103,8 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
  • is_happy() : happy_number.cpp
  • is_prime() : check_prime.cpp
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • IsPrime() : primality_test.cpp
  • isPrime() : modular_inverse_fermat_little_theorem.cpp
    • +
  • IsPrime() : primality_test.cpp
  • it_ternary_search() : ternary_search.cpp
    • diff --git a/globals_func_m.html b/globals_func_m.html index 99e357c1b..b630e49a9 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -93,7 +93,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl  

    - m -

    diff --git a/globals_m.html b/globals_m.html index 00b9a0583..c4bab70df 100644 --- a/globals_m.html +++ b/globals_m.html @@ -93,7 +93,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
    Here is a list of all documented file members with links to the documentation:

    - m -

    diff --git a/namespacemembers_func.html b/namespacemembers_func.html index 4c7504adb..6190486c6 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -248,6 +248,7 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • test() : spirograph
  • test_eval() : math
  • transpose() : machine_learning
    • +
  • TravellingSalesmanProblem() : graph
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