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  2. k shortest path routing - Wikipedia

    en.wikipedia.org/wiki/K_shortest_path_routing

    That is, it finds a shortest path, second shortest path, etc. up to the K th shortest path. More details can be found here . The code provided in this example attempts to solve the k shortest path routing problem for a 15-nodes network containing a combination of unidirectional and bidirectional links:

  3. Stern–Brocot tree - Wikipedia

    en.wikipedia.org/wiki/Stern–Brocot_tree

    The path from the root 1 to a number q in the Stern–Brocot tree may be found by a binary search algorithm, which may be expressed in a simple way using mediants. Augment the non-negative rational numbers to including a value ⁠ 1 / 0 ⁠ (representing +∞) that is by definition greater than all other rationals.

  4. Binary Golay code - Wikipedia

    en.wikipedia.org/wiki/Binary_Golay_code

    The binary Golay code, G 23 is a perfect code. That is, the spheres of radius three around code words form a partition of the vector space. G 23 is a 12-dimensional subspace of the space F 23 2. The automorphism group of the perfect binary Golay code G 23 (meaning the subgroup of the group S 23 of permutations of the coordinates of F 23

  5. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    It is the first self-balancing binary search tree data structure to be invented. [3] AVL trees are often compared with red–black trees because both support the same set of operations and take (⁡) time for the basic operations.

  6. Hypercube graph - Wikipedia

    en.wikipedia.org/wiki/Hypercube_graph

    A Hamiltonian cycle on a tesseract with vertices labelled with a 4-bit cyclic Gray code. Every hypercube Q n with n > 1 has a Hamiltonian cycle, a cycle that visits each vertex exactly once. Additionally, a Hamiltonian path exists between two vertices u and v if and only if they have different colors in a 2-coloring of the graph.

  7. Golay code - Wikipedia

    en.wikipedia.org/wiki/Golay_code

    Golay code may refer to: Binary Golay code, an error-correcting code used in digital communications; Ternary Golay code (Golay) complementary sequences

  8. Trie - Wikipedia

    en.wikipedia.org/wiki/Trie

    [24]: 3 The skip number 1 at node 0 corresponds to the position 1 in the binary encoded ASCII where the leftmost bit differed in the key set . [24]: 3-4 The skip number is crucial for search, insertion, and deletion of nodes in the Patricia tree, and a bit masking operation is performed during every iteration. [15]: 143

  9. Longest path problem - Wikipedia

    en.wikipedia.org/wiki/Longest_path_problem

    The question "does there exist a simple path in a given graph with at least k edges" is NP-complete. [2] In weighted complete graphs with non-negative edge weights, the weighted longest path problem is the same as the Travelling salesman path problem, because the longest path always includes all vertices. [3]