Boundary (graph Theory)
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Boundary (graph Theory)
In graph theory, the outer boundary of a Glossary of graph theory#subgraph, subgraph of a graph (discrete mathematics), graph is the set of vertex (graph theory), vertices of not in that have a common edge (graph theory), edge with a vertex in . Its inner boundary is the set of vertices of that have a common edge with a vertex not in . The edge boundary of , denoted by , is the set of ''edges'' between a vertex in and a vertex not in . Graph theory {{Combin-stub ...
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Graph Theory
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 ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated with t ...
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Glossary Of Graph Theory
This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by lines or edges. Symbols A B C D E F G H I K L M N O ...
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