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An induced path of length four in a cube.Finding the longest induced path in a hypercube is known as the snake-in-the-box problem.. In the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced subgraph of G.
The path should never travel to a corner which has been marked unusable. In other words, a snake is a connected open path in the hypercube where each node connected with path, with the exception of the head (start) and the tail (finish), it has exactly two neighbors that are also in the snake. The head and the tail each have only one neighbor ...
This anaerobic, gram-positive bacterium was previously named Clostridium thermosaccharolyticum (32 letters), but later became one of the longest accepted binomials upon being reclassified in the genus Thermoanaerobacterium (some sources, however, list this name as a synonym and still consider Clostridium thermosaccharolyticum to be the correct ...
The 100 species with longest life-spans recorded and verified [1] This is a list of the longest-living biological organisms: the individual(s) (or in some instances, clones) of a species with the longest natural maximum life spans. For a given species, such a designation may include:
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex exactly once. A Hamiltonian path that starts and ends at adjacent vertices can be completed by adding ...
A three-dimensional hypercube graph showing a Hamiltonian path in red, and a longest induced path in bold black. In graph theory, a path in a graph is a finite or infinite sequence of edges which joins a sequence of vertices which, by most definitions, are all distinct (and since the vertices are distinct, so are the edges).
In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph.A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges.
In 1864, William M'Intosh described a specimen that had washed ashore in the aftermath of a severe storm by St Andrews, Scotland, which was more than 55 m (180 ft) long, [8] longer than the longest known lion's mane jellyfish, the animal which is often considered to be the longest in the world. However, records of extreme length should be taken ...