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  2. Forbidden graph characterization - Wikipedia

    en.wikipedia.org/wiki/Forbidden_graph...

    graph minors, smaller graphs obtained from subgraphs by arbitrary edge contractions. The set of structures that are forbidden from belonging to a given graph family can also be called an obstruction set for that family. Forbidden graph characterizations may be used in algorithms for testing whether

  3. Robertson–Seymour theorem - Wikipedia

    en.wikipedia.org/wiki/Robertson–Seymour_theorem

    A minor of an undirected graph G is any graph that may be obtained from G by a sequence of zero or more contractions of edges of G and deletions of edges and vertices of G.The minor relationship forms a partial order on the set of all distinct finite undirected graphs, as it obeys the three axioms of partial orders: it is reflexive (every graph is a minor of itself), transitive (a minor of a ...

  4. Restriction (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Restriction_(mathematics)

    More generally, the restriction (or domain restriction or left-restriction) of a binary relation between and may be defined as a relation having domain , codomain and graph ( ) = {(,) ():}. Similarly, one can define a right-restriction or range restriction R B . {\displaystyle R\triangleright B.}

  5. Graph minor - Wikipedia

    en.wikipedia.org/wiki/Graph_minor

    A graph H is called a topological minor of a graph G if a subdivision of H is isomorphic to a subgraph of G. [21] Every topological minor is also a minor. The converse however is not true in general (for instance the complete graph K 5 in the Petersen graph is a minor but not a topological one), but holds for graph with maximum degree not ...

  6. Edge contraction - Wikipedia

    en.wikipedia.org/wiki/Edge_contraction

    Let = (,) be a graph (or directed graph) containing an edge = (,) with .Let be a function that maps every vertex in {,} to itself, and otherwise, maps it to a new vertex .The contraction of results in a new graph ′ = (′, ′), where ′ = ({,}) {}, ′ = {}, and for every , ′ = ′ is incident to an edge ′ ′ if and only if, the corresponding edge, is incident to in .

  7. Cyclomatic complexity - Wikipedia

    en.wikipedia.org/wiki/Cyclomatic_complexity

    This graph has 10 edges, eight nodes and one connected component, which also results in a cyclomatic complexity of 3 using the alternative formulation (10 − 8 + 1 = 3). An alternative formulation of this, as originally proposed, is to use a graph in which each exit point is connected back to the entry point.

  8. Ice-T proves he's still 'Merciless' on Body Count's latest ...

    www.aol.com/news/ice-t-proves-hes-still...

    The 12-track record is Body Count’s eighth album, with Ice and Crenshaw high school pal guitarist Ernie C (Cunnigan) and turntablist/keyboard player Sean E Sean its original members.

  9. Ramsey's theorem - Wikipedia

    en.wikipedia.org/wiki/Ramsey's_theorem

    For graphs H 1, H 2, …, H r, define r ind (H 1, H 2, …, H r) to be the minimum number of vertices in a graph G such that any coloring of the edges of G into r colors contain an induced subgraph isomorphic to H i where all edges are colored in the i-th color for some 1 ≤ i ≤ r.