bridgeless graph

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• 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

• Cubic graph — Not to be confused with graphs of cubic functions. The Petersen graph is a Cubic graph …   Wikipedia

• Snark (graph theory) — In graph theory, a snark is a connected, bridgeless cubic graph with chromatic index equal to 4. In other words, it is a graph in which every vertex has three neighbors, and the edges cannot be colored by three colors without two edges of the… …   Wikipedia

• Bridge (graph theory) — A graph with 6 bridges (highlighted in red) An undirected connected graph with no cut …   Wikipedia

• Tietze's graph — The Tietze s graph Vertices 12 Edges 18 Diameter …   Wikipedia

• Petersen graph — Infobox graph name = Petersen graph image caption = The Petersen graph is most commonly drawn as a pentagon with a pentagram inside, with five spokes. namesake = Julius Petersen vertices = 10 edges = 15 radius = 2 diameter = 2 girth = 5 chromatic …   Wikipedia

• Minor (graph theory) — In graph theory, an undirected graph H is called a minor of the graph G if H is isomorphic to a graph that can be obtained by zero or more edge contractions on a subgraph of G. The theory of graph minors began with Wagner s theorem that a graph… …   Wikipedia

• Skew-symmetric graph — In graph theory, a branch of mathematics, a skew symmetric graph is a directed graph that is isomorphic to its own transpose graph, the graph formed by reversing all of its edges. The isomorphism is required to be an involution without any fixed… …   Wikipedia

• Hypohamiltonian graph — In the mathematical field of graph theory, a graph G is said to be hypohamiltonian if G does not itself have a Hamiltonian cycle but every graph formed by removing a single vertex from G is Hamiltonian.HistoryHypohamiltonian graphs were first… …   Wikipedia

• Cut (graph theory) — In graph theory, a cut is a partition of the vertices of a graph into two disjoint subsets. The cut set of the cut is the set of edges whose end points are in different subsets of the partition. Edges are said to be crossing the cut if they are… …   Wikipedia

• Cycle double cover — Unsolved problems in mathematics Does every bridgeless graph have a multiset of cycles covering every edge exactly twice? …   Wikipedia