enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Series–parallel graph - Wikipedia

    en.wikipedia.org/wiki/Seriesparallel_graph

    Indeed, a graph has treewidth at most 2 if and only if it has branchwidth at most 2, if and only if every biconnected component is a series–parallel graph. [4] [5] The maximal series–parallel graphs, graphs to which no additional edges can be added without destroying their series–parallel structure, are exactly the 2-trees.

  3. Series-parallel partial order - Wikipedia

    en.wikipedia.org/wiki/Series-parallel_partial_order

    In order-theoretic mathematics, a series-parallel partial order is a partially ordered set built up from smaller series-parallel partial orders by two simple composition operations. [ 1 ] [ 2 ] The series-parallel partial orders may be characterized as the N-free finite partial orders; they have order dimension at most two.

  4. Partially ordered set - Wikipedia

    en.wikipedia.org/wiki/Partially_ordered_set

    Series-parallel partial orders are formed from the ordinal sum operation (in this context called series composition) and another operation called parallel composition. Parallel composition is the disjoint union of two partially ordered sets, with no order relation between elements of one set and elements of the other set.

  5. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    An infinite series of any rational function of can be reduced to a finite series of polygamma functions, by use of partial fraction decomposition, [8] as explained here. This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms.

  6. Ear decomposition - Wikipedia

    en.wikipedia.org/wiki/Ear_decomposition

    A 2-vertex-connected graph is series–parallel if and only if it has a nested ear decomposition. Moreover, any open ear decomposition of a 2-vertex-connected series–parallel graph must be nested. The result may be extended to series–parallel graphs that are not 2-vertex-connected by using open ear decompositions that start with a path ...

  7. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  8. Graph (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Graph_(discrete_mathematics)

    A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).

  9. Series-parallel - Wikipedia

    en.wikipedia.org/wiki/Series-parallel

    The expression series-parallel can apply to different domains: Series and parallel circuits for electrical circuits and electronic circuits; Series-parallel partial order, in partial order theory; Series–parallel graph in graph theory; Series–parallel networks problem, a combinatorial problem about series–parallel graphs