polyhedral graph
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Polyhedral combinatorics — is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher dimensional convex polytopes.A key question in polyhedral combinatorics is to… … Wikipedia
graph theory — Math. the branch of mathematics dealing with linear graphs. [1965 70] * * * Mathematical theory of networks. A graph consists of nodes (also called points or vertices) and edges (lines) connecting certain pairs of nodes. An edge that connects a… … Universalium
Polyhedral skeletal electron pair theory — In chemistry the polyhedral skeletal electron pair theory provides electron counting rules useful for predicting the structures of clusters such as borane and carborane clusters. The electron counting rules were originally formulated by Kenneth… … Wikipedia
Cubic graph — Not to be confused with graphs of cubic functions. The Petersen graph is a Cubic graph … Wikipedia
Periodic graph (crystallography) — For other uses, see Periodic graph. A (large) unit cell of Diamond crystal net; the balls represent carbon atoms and the sticks represent covalent bonds … Wikipedia
Planar graph — Example graphs Planar Nonplanar Butterfly graph K5 The complete graph K4 … Wikipedia
Claw-free graph — A claw In graph theory, an area of mathematics, a claw free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the complete bipartite graph K1,3 (that is, a star graph with three edges, three leaves, and … Wikipedia
Dürer graph — Melencolia I by Albrecht Dürer, the first appearance of Dürer s solid (1514). In the mathematical field of graph theory, the Dürer graph is an undirected graph with 12 vertices and 18 edges. It is named after Albrecht Dürer, whose 1514 engraving… … Wikipedia
Cycle double cover — Unsolved problems in mathematics Does every bridgeless graph have a multiset of cycles covering every edge exactly twice? … Wikipedia
Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane … Wikipedia
Hamiltonian path — This article is about the overall graph theory concept of a Hamiltonian path. For the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph, see Hamiltonian path problem. A Hamiltonian cycle in a dodecahedron … Wikipedia