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  2. Split graph - Wikipedia

    en.wikipedia.org/wiki/Split_graph

    A split graph, partitioned into a clique and an independent set. In graph theory, a branch of mathematics, a split graph is a graph in which the vertices can be partitioned into a clique and an independent set.

  3. Split (graph theory) - Wikipedia

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

    In graph theory, a split of an undirected graph is a cut whose cut-set forms a complete bipartite graph. A graph is prime if it has no splits. The splits of a graph can be collected into a tree-like structure called the split decomposition or join decomposition , which can be constructed in linear time.

  4. Glossary of graph theory - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_graph_theory

    Spectral graph theory is the branch of graph theory that uses spectra to analyze graphs. See also spectral expansion. split 1. A split graph is a graph whose vertices can be partitioned into a clique and an independent set. A related class of graphs, the double split graphs, are used in the proof of the strong perfect graph theorem. 2.

  5. Splittance - Wikipedia

    en.wikipedia.org/wiki/Splittance

    In graph theory, a branch of mathematics, the splittance of an undirected graph measures its distance from a split graph. A split graph is a graph whose vertices can be partitioned into an independent set (with no edges within this subset) and a clique (having all possible edges within this subset). The splittance is the smallest number of edge ...

  6. Bipartite graph - Wikipedia

    en.wikipedia.org/wiki/Bipartite_graph

    When modelling relations between two different classes of objects, bipartite graphs very often arise naturally. For instance, a graph of football players and clubs, with an edge between a player and a club if the player has played for that club, is a natural example of an affiliation network, a type of bipartite graph used in social network analysis.

  7. Chordal graph - Wikipedia

    en.wikipedia.org/wiki/Chordal_graph

    Split graphs are graphs that are both chordal and the complements of chordal graphs. Bender, Richmond & Wormald (1985) showed that, in the limit as n goes to infinity, the fraction of n-vertex chordal graphs that are split approaches one. Ptolemaic graphs are graphs that are both chordal and distance hereditary.

  8. Obama vs. Romney Electoral Map - elections.huffingtonpost.com

    elections.huffingtonpost.com/2012/romney-vs...

    Maps and electoral vote counts for the 2012 presidential election. Our latest estimate has Obama at 332 electoral votes and Romney at 191.

  9. Graph partition - Wikipedia

    en.wikipedia.org/wiki/Graph_partition

    Consider a graph G = (V, E), where V denotes the set of n vertices and E the set of edges. For a (k,v) balanced partition problem, the objective is to partition G into k components of at most size v · (n/k), while minimizing the capacity of the edges between separate components. [1]