WebA well-characterized, and in a sense easily computable, function is introduced which bounds the capacity from above and equals the capacity in a large number of cases. Several results are obtained on the capacity of special graphs; for example, the Petersen graph has capacity four and a self-complementary graph with n points and with a vertex … Web18 de ago. de 2013 · Graph theorists have many measures of how ‘big’ a graph is: order, size, diameter, radius, circumference, girth, chromatic number, and so on. Last time I told you about two of them: independence number and Shannon capacity.This time I’ll bring in two other measures of size that I’ve written about previously in contexts other than graph …
On the Shannon Capacity of a Directed Graph - ScienceDirect
Web1 de jan. de 1982 · This chapter presents a discussion on analogues of the Shannon capacity of a graph. This study was stimulated by analogies between two graph-theoretic notions, which arise from apparently unrelated applied problems in information theory and operations research. The graph theoretic concepts are the capacity of a graph and the … WebThe Shannon capacity is in general very difficult to calculate (Brimkov et al. 2000).In fact, the Shannon capacity of the cycle graph was not determined as until 1979 (Lovász … flynn name origin and meaning
[PDF] On the Shannon capacity of a graph Semantic Scholar
Web10 de ago. de 2013 · The Shannon capacity measures how economically one can communicate without ambiguity, allowing the use of letter blocks of arbitrary size. … Web24 de dez. de 2012 · Using the above argument, Leung et al. recently found the first two examples of graphs whose entanglement-assisted capacity exceeds the Shannon capacity.Their graphs are based on the exceptional root systems and , giving a graph on 63 vertices such that and a graph on 157 vertices such that .They also show that their … WebThe determination of the Shannon capacity is a very difficult problem even for very simple small graphs. Shannon proved that a(G) = 0(G) for those graphs which can be covered … flynn musician