critical subgraph

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• Factor-critical graph — In graph theory, a mathematical discipline, factor critical graph is a graph with n vertices in which any subset of n − 1 vertices has a perfect matching. For example, any odd length cycle graph is factor critical.Factor critical graphs must… …   Wikipedia

• Edge coloring — A 3 edge coloring of the Desargues graph. In graph theory, an edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges have the same color. For example, the figure to the right shows an edge… …   Wikipedia

• De Bruijn–Erdős theorem (graph theory) — This article is about coloring infinite graphs. For the number of lines determined by a finite set of points, see De Bruijn–Erdős theorem (incidence geometry). In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and… …   Wikipedia

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• Mycielskian — In the mathematical area of graph theory, the Mycielskian or Mycielski graph of an undirected graph G is a graph μ(G) formed from G by a construction of Jan Mycielski (1955), who used it to show that there exist triangle free graphs with… …   Wikipedia

• Graph coloring — A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called colors to elements of a graph… …   Wikipedia

• Four color theorem — Example of a four colored map A four colori …   Wikipedia

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