Theorem relating graph minors and topological embeddings
In mathematics, the graph structure theorem is a major result in the area of graph theory. The result establishes a deep and fundamental connection between the theory of graph minors and topological embeddings. The theorem is stated in the seventeenth of a series of 23 papers by Neil Robertson and Paul Seymour. Its proof is very long and involved. Kawarabayashi & Mohar (2007) and Lovász (2006) are surveys accessible to nonspecialists, describing the theorem and its consequences.
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In mathematics, the graphstructuretheorem is a major result in the area of graph theory. The result establishes a deep and fundamental connection between...
Ore's theorems basically state that a graph is Hamiltonian if it has enough edges. The Bondy–Chvátal theorem operates on the closure cl(G) of a graph G with...
conjectures involving graph minors include the graphstructuretheorem, according to which the graphs that do not have H as a minor may be formed by gluing...
underlying graph from vertices into edges, and by Whitney's theorem the same translation can also be done in the other direction. Line graphs are claw-free...
consequence, planar graphs also have treewidth and branch-width O(√n). The planar product structuretheorem states that every planar graph is a subgraph of...
graphtheorem states that the complement graph of a perfect graph is also perfect. The strong perfect graphtheorem characterizes the perfect graphs in...
strong perfect graphtheorem, the perfect graphs have a forbidden graph characterization resembling that of bipartite graphs: a graph is bipartite if...
isomorphic but both have K3 as their line graph. The Whitney graphtheorem can be extended to hypergraphs. While graph isomorphism may be studied in a classical...
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 subject...
Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract structure of a group...
mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...
The structured program theorem, also called the Böhm–Jacopini theorem, is a result in programming language theory. It states that a class of control-flow...
circuit boards. Graph embeddings are also used to prove structural results about graphs, via graph minor theory and the graphstructuretheorem. Crossing number...
the mathematical field of graph theory, a graph homomorphism is a mapping between two graphs that respects their structure. More concretely, it is a function...
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...
In graph theory, the planar separator theorem is a form of isoperimetric inequality for planar graphs, that states that any planar graph can be split...