mathematics, the Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a "bottleneck"...

the graph there is a cycle that passes through all the vertices in the set. The converse is true when k = 2. Algebraic connectivity Cheeger constant (graph...

the theory of Markov chains and in graph theory, where they have inspired the analogous Cheeger constant of a graph and the notion of conductance. Let...

Chelsea Publishing, Providence, RI, 2008. Cheeger bound Cheeger constant Cheeger constant (graph theory) Cheeger–Müller theorem soul theorem splitting theorem...

Laplacian. The Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a "bottleneck"...

converge. The conductance of a graph is closely related to the Cheeger constant of the graph, which is also known as the edge expansion or the isoperimetic...

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 the mathematics of infinite graphs, an end of a graph represents, intuitively, a direction in which the graph extends to infinity. Ends may be formalized...

this difference to other properties of the system. Cheeger constant (graph theory) Cheeger constant (Riemannian geometry) Eigengap Spectral gap (physics)...

a graph is a good expander if it has low degree and high expansion parameters. The edge expansion (also isoperimetric number or Cheeger constant) h(G)...

discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...

geometric group theory. The structure and symmetry of Cayley graphs makes them particularly good candidates for constructing expander graphs. Let G {\displaystyle...

Technology software. Connectivity (graph theory) Dynamic connectivity Strength of a graph Cheeger constant (graph theory) Critical point (network science)...

of the manifold.[YY80] Earlier, Yau had modified Jeff Cheeger's analysis of the Cheeger constant so as to be able to estimate the first eigenvalue from...

process / (U:D) CIR process / scl Chapman–Kolmogorov equation / (F:DC) Cheeger bound / (L:D) Conductance Contact process Continuous-time Markov process /...

redirects to Checking whether a coin is fair Checking whether a coin is fair Cheeger bound Chemometrics Chernoff bound – a special case of Chernoff's inequality...

flows Duong Phong, Stability and constant scalar curvature Jeff Viaclovsky, Orthogonal Complex Structures Jeff Cheeger, Quantitative Behavior of Maps from...

CO;2. S2CID 85618870. Lanphier, D.; Rosenhouse, J. (2004). "Cheeger constants of Platonic graphs". Discrete Mathematics. 277 (1–3): 101–113. doi:10...

must be non-congruence (one way to see this is that the Cheeger constant of the Schreier graph goes to 0; there is also a simple algebraic proof in the...

and is the key point in the proof of Gromov's compactness theorem.) The Cheeger–Gromoll splitting theorem states that if a complete Riemannian manifold...

explicit. Another relation between spectrum and geometry is given by Cheeger's inequality, which in the case of a surface S {\displaystyle S} states...