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  2. Path (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Path_(graph_theory)

    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).

  3. Commutative diagram - Wikipedia

    en.wikipedia.org/wiki/Commutative_diagram

    The commutative diagram used in the proof of the five lemma. In mathematics, and especially in category theory, a commutative diagram is a diagram such that all directed paths in the diagram with the same start and endpoints lead to the same result. [1] It is said that commutative diagrams play the role in category theory that equations play in ...

  4. Inelastic mean free path - Wikipedia

    en.wikipedia.org/wiki/Inelastic_mean_free_path

    The inelastic mean free path (IMFP) is an index of how far an electron on average travels through a solid before losing energy. Universal curve for the electron inelastic mean free path in elements based on equation (5) in. [ 1 ]

  5. Hamiltonian path - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_path

    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 ...

  6. Causal structure - Wikipedia

    en.wikipedia.org/wiki/Causal_structure

    The causal future of relative to , + [;], is the causal future of considered as a submanifold of . Note that this is quite a different concept from J + [ S ] ∩ T {\displaystyle J^{+}[S]\cap T} which gives the set of points in T {\displaystyle T} which can be reached by future-directed causal curves starting from S {\displaystyle S} .

  7. World line - Wikipedia

    en.wikipedia.org/wiki/World_line

    A world line is a special type of curve in spacetime. Below an equivalent definition will be explained: A world line is either a time-like or a null curve in spacetime. Each point of a world line is an event that can be labeled with the time and the spatial position of the object at that time.

  8. Parity graph - Wikipedia

    en.wikipedia.org/wiki/Parity_graph

    Parity graphs include the distance-hereditary graphs, in which every two induced paths between the same two vertices have the same length.They also include the bipartite graphs, which may be characterized analogously as the graphs in which every two paths (not necessarily induced paths) between the same two vertices have the same parity, and the line perfect graphs, a generalization of the ...

  9. Simple path - Wikipedia

    en.wikipedia.org/wiki/Simple_path

    Simple path may refer to: Simple curve, a continuous injective function from an interval in the set of real numbers to or more generally to a metric space or a topological space; Simple path (graph theory), a simple path is a path in a graph which does not have repeating vertices