Diferencia entre revisiones de «Teoría de grafos»

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La teoria de grafos proporciona unas herramientas para resolver problemas que nos presentan cierto tipo de complejidad, y que no se habian podido resolver antes que Euler tratara de dar solucion al problema de los puentes de Konigsberg. se destacan entre ellos los siguientes:
==== RouteGraph problems: ====
 
* [[Graph coloring]]:
===Coloramiento de grafos===
** the [[four-color theorem]]
====El teorema de los cuatro colores====
=====** the [[perfect graph|strong perfect graph theorem=====]]
** the [[Erdös-Faber-Lovász conjecture|Erdős-Faber-Lovász conjecture]] (unsolved)
=====** the [[total coloring|total coloring conjecture]] (unsolved)=====
=====** the [[list edge-coloring|list coloring conjecture]] (unsolved)=====
 
====* Graph substructure:=====
=====the strong perfect graph theorem=====
=====** [[Independent set =====]]
=====the Erd\x{0151}s-Faber-Lov\x{00E1}sz conjecture (unsolved)=====
** [[Clique]]
===== the total coloring conjecture (unsolved)=====
===== the list coloring conjecture (unsolved)=====
 
* Route problems:
==== Graph substructure:=====
** [[Seven bridges of Königsberg]]
===== Independent set =====
=====** [[Minimum spanning tree =====]]
===== Clique =====
=====** [[Steiner tree =====]]
=====** [[Shortest path problem =====]]
=====** [[Route inspection problem]] (also called the "Chinese Postman Problem") =====
=====** [[Traveling salesman problem =====]]
 
* [[Network flow]]s:
==== Route problems: ====
=====** [[Max flow min cut theorem =====]]
===== Seven bridges of K\x{00F6}nigsberg =====
====* [[Reconstruction conjecture ====]]
===== Minimum spanning tree =====
===== Steiner tree =====
===== Shortest path problem =====
===== Route inspection problem (also called the "Chinese Postman Problem") =====
===== Traveling salesman problem =====
 
====* Graph [[isomorphism]] problems (Graph matching)====
==== Network flows: ====
=====** Canonical labeling =====
===== Max flow min cut theorem =====
=====** Subgraph isomorphism and monomorphisms =====
==== Reconstruction conjecture ====
=====** Maximal common subgraph =====
==== Graph isomorphism problems (Graph matching)====
===== Canonical labeling =====
===== Subgraph isomorphism and monomorphisms =====
===== Maximal common subgraph =====
 
 
 
==== Important algorithms ====
 
===== Dijkstra's algorithm =====
===== Kruskal's algorithm =====
===== Nearest neighbour algorithm =====
===== Prim's algorithm =====