• In graph theory, the Shannon capacity of a graph is a graph invariant defined from the number of independent sets of strong graph products. It is named...
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  • Shannon capacity may mean Channel capacity, the capacity of a channel in communications theory Shannon capacity of a graph This disambiguation page lists...
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  • Receiver Shannon–Hartley theorem Spectral efficiency Throughput Shannon capacity of a graph MIMO Cooperative diversity "Transmission rate of a channel"...
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  • Lovász number (category Graph invariants)
    In graph theory, the Lovász number of a graph is a real number that is an upper bound on the Shannon capacity of the graph. It is also known as Lovász...
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  • Thumbnail for Perfect graph
    In graph theory, a perfect graph is a graph in which the chromatic number equals the size of the maximum clique, both in the graph itself and in every...
    59 KB (7,054 words) - 11:33, 16 December 2024
  • Thumbnail for Strong product of graphs
    is not known whether these graphs are biplanar. See page 2 of Lovász, László (1979), "On the Shannon Capacity of a Graph", IEEE Transactions on Information...
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  • Nyquist and Ralph Hartley. The Shannon limit or Shannon capacity of a communication channel refers to the maximum rate of error-free data that can theoretically...
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  • {\displaystyle \theta (x)} Lovász theta function, an upper bound on the Shannon capacity of a graph Jacobi theta functions (notational variations), ϑ i j ( z ; τ...
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  • Thumbnail for Graph coloring
    graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject...
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  • Thumbnail for Erdős–Ko–Rado theorem
    Erdős–Ko–Rado theorem (category Families of sets)
    be strengthened from the independence number to the Shannon capacity of a graph: the Johnson graph corresponding to the t {\displaystyle t} -intersecting...
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  • ISSN 1557-2862. S2CID 1004947. Lovasz, L. (January 1979). "On the Shannon capacity of a graph". IEEE Transactions on Information Theory. 25 (1): 1–7. doi:10...
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  • Thumbnail for Claude Shannon
    Sampling Shannon capacity Shannon entropy Shannon index Shannon multigraph Shannon security Shannon switching game Shannon–Fano coding Shannon–Hartley...
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  • Galactic algorithm (category Analysis of algorithms)
    Shannon showed a simple but asymptotically optimal code that can reach the theoretical capacity of a communication channel. It requires assigning a random...
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  • Low-density parity-check code (category Capacity-approaching codes)
    Below is a graph fragment of an example LDPC code using Forney's factor graph notation. In this graph, n variable nodes in the top of the graph are connected...
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  • Thumbnail for Pseudoforest
    Pseudoforest (redirect from Unicyclic graph)
    In graph theory, a pseudoforest is an undirected graph in which every connected component has at most one cycle. That is, it is a system of vertices and...
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  • the entropy of a stochastic matrix associated with the graph adjacency matrix ( A i j ) {\displaystyle (A_{ij})} and the random walker Shannon entropy is...
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  • Thumbnail for Entropy (information theory)
    net/WorldInfoCapacity.html Spellerberg, Ian F.; Fedor, Peter J. (2003). "A tribute to Claude Shannon (1916–2001) and a plea for more rigorous use of species...
    70 KB (10,023 words) - 23:56, 5 December 2024
  • Max-flow min-cut theorem (category Theorems in graph theory)
    cut-set of C are removed, then no positive flow is possible, because there is no path in the resulting graph from the source to the sink. The capacity of an...
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  • doi:10.1109/18.2639. Marton, K. (1993). "On the Shannon capacity of probabilistic graphs". Journal of Combinatorial Theory. 57 (2): 183–195. doi:10.1006/jctb...
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  • Thumbnail for Shannon Airport
    was dominated by flying boats, and a flying boat terminal was located at Foynes on the south side of the Shannon Estuary. However, it was realised that...
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  • art gallery theorem Five proofs of Turán's theorem Shannon capacity and Lovász number Chromatic number of Kneser graphs Friendship theorem Some proofs...
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  • abstract syntax tree (AST) (a,b)-tree accepting state Ackermann's function active data structure acyclic directed graph adaptive heap sort adaptive Huffman...
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  • Malliavin calculus, a subfield of stochastic analysis the minimum degree of any vertex in a given graph a partial charge. δ− represents a negative partial...
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  • Thumbnail for Communication channel
    Propagation graph, models signal dispersion by representing the radio propagation environment by a graph. Mobility models, which also causes a time-variant...
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  • years of research, some advanced FEC systems like polar code come very close to the theoretical maximum given by the Shannon channel capacity under the...
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  • _{2}{\frac {1}{1-x}}} Shannon's noisy-channel coding theorem gives a result about the rate of information that can be transmitted through a communication channel...
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  • Thumbnail for Debye model
    the Debye model is a method developed by Peter Debye in 1912 to estimate phonon contribution to the specific heat (heat capacity) in a solid. It treats...
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  • Thumbnail for Fitts's law
    University, and named for its resemblance to the Shannon–Hartley theorem. It describes the transmission of information using bandwidth, signal strength and...
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  • Thumbnail for Entropy
    "information" capacity of the system, an expression similar to Shannon's channel capacity, and C O {\textstyle C_{\mathsf {O}}} is the "order" capacity of the system...
    108 KB (13,971 words) - 02:21, 16 December 2024
  • Thumbnail for Dublin Airport
    Dublin Airport (category Pages using the Graph extension)
    operates a base at the airport. United States border preclearance services are available at the airport for U.S.-bound passengers. Shannon Airport is...
    132 KB (9,102 words) - 23:48, 20 December 2024