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  2. Algebraic graph theory - Wikipedia

    en.wikipedia.org/wiki/Algebraic_graph_theory

    Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic approaches. There are three main branches of algebraic graph theory, involving the use of linear algebra, the use of group theory, and the study of graph invariants.

  3. Multiple representations (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Multiple_representations...

    The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.

  4. List of NP-complete problems - Wikipedia

    en.wikipedia.org/wiki/List_of_NP-complete_problems

    Graph homomorphism problem [3]: GT52 Graph partition into subgraphs of specific types (triangles, isomorphic subgraphs, Hamiltonian subgraphs, forests, perfect matchings) are known NP-complete. Partition into cliques is the same problem as coloring the complement of the given graph. A related problem is to find a partition that is optimal terms ...

  5. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    Many authors use these two words interchangeably. A polynomial P in the indeterminate x is commonly denoted either as P or as P(x). Formally, the name of the polynomial is P, not P(x), but the use of the functional notation P(x) dates from a time when the distinction between a polynomial and the associated function was unclear. Moreover, the ...

  6. Category:Graph algorithms - Wikipedia

    en.wikipedia.org/wiki/Category:Graph_algorithms

    Graph algorithms solve problems related to graph theory. Subcategories. This category has the following 3 subcategories, out of 3 total. F. Flooding algorithms (5 P ...

  7. Shortest path problem - Wikipedia

    en.wikipedia.org/wiki/Shortest_path_problem

    Semiring multiplication is done along the path, and the addition is between paths. This general framework is known as the algebraic path problem. [21] [22] [23] Most of the classic shortest-path algorithms (and new ones) can be formulated as solving linear systems over such algebraic structures. [24]

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