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2. Category:Unsolved problems in graph theory - Wikipedia

   en.wikipedia.org/wiki/Category:Unsolved_problems...

   Pages in category "Unsolved problems in graph theory". The following 32 pages are in this category, out of 32 total. This list may not reflect recent changes .

3. Shortest path problem - Wikipedia

   en.wikipedia.org/wiki/Shortest_path_problem

   In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. The problem of finding the shortest path between two intersections on a road map may be modeled as a special case of the shortest path problem in graphs ...

4. Tournament (graph theory) - Wikipedia

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

   In graph theory, a tournament is a directed graph with exactly one edge between each two vertices, in one of the two possible directions. Equivalently, a tournament is an orientation of an undirected complete graph. (However, as directed graphs, tournaments are not complete: complete directed graphs have two edges, in both directions, between ...

5. Graph theory - Wikipedia

   en.wikipedia.org/wiki/Graph_theory

   A drawing of a graph. In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines ).

6. Handshaking lemma - Wikipedia

   en.wikipedia.org/wiki/Handshaking_lemma

   In graph theory, a branch of mathematics, the handshaking lemma is the statement that, in every finite undirected graph, the number of vertices that touch an odd number of edges is even. For example, if there is a party of people who shake hands, the number of people who shake an odd number of other people's hands is even. [ 1]

7. Component (graph theory) - Wikipedia

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

   Component (graph theory) In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly one component, consisting of the ...