their Hamming distance is one. The Hamming graph H(d,q) is, equivalently, the Cartesian product of d complete graphs Kq. In some cases, Hamming graphs may...

include the Hamming code (which makes use of a Hamming matrix), the Hamming window, Hamming numbers, sphere-packing (or Hamming bound), Hamming graph concepts...

graphs K2. More generally the Cartesian product of copies of a complete graph is called a Hamming graph; the hypercube graphs are examples of Hamming...

3. For a fixed length n, the Hamming distance is a metric on the set of the words of length n (also known as a Hamming space), as it fulfills the conditions...

the edge graph of the hypersimplex Δ n , k {\displaystyle \Delta _{n,k}} . The Hamming graph H ( d , q ) {\displaystyle H(d,q)} is the edge graph of the...

graphs of complete bipartite graphs. The square rook's graphs constitute the two-dimensional Hamming graphs. Rook's graphs are highly symmetric, having...

hypercube graphs, and the Cartesian products of triangle graphs are the Hamming graphs H ( d , 3 ) {\displaystyle H(d,3)} . Other specific graphs that are...

distance, Hamming distance and Jaro–Winkler distance may be interpreted as graph edit distances between suitably constrained graphs. Likewise, graph edit distance...

temporal dynamics in multivariate time series. De Bruijn torus Hamming graph Kautz graph de Bruijn, N. G. (1946). "A combinatorial problem". Indagationes...

vertices in the graph is equal to the Hamming distance between their labels. Such a labeling is called a Hamming labeling; it represents an isometric embedding...

connecting pairs of vertices whose Hamming distance is exactly four. The 5-regular Clebsch graph is a strongly regular graph of degree 5 with parameters (...

computing, a graph state is a special type of multi-qubit state that can be represented by a graph. Each qubit is represented by a vertex of the graph, and there...

bits are different, called the Hamming distance. Hamming spaces are named after American mathematician Richard Hamming, who introduced the concept in...

Grassmann graphs. The Hamming Graphs (including Hypercube graphs). The folded cube graphs. The square rook's graphs. The Livingstone graph. After introducing...

instance, the nine-vertex Paley graph (the graph of the 3-3 duoprism) is the Cartesian product of two triangles. The Hamming graph H ( d , 3 ) {\displaystyle...

the vertices of a hypercube, in such a way that distance in the graph equals Hamming distance between the corresponding hypercube vertices. Many important...

chemical graph theory. The Fibonacci cube may be defined in terms of Fibonacci codes and Hamming distance, independent sets of vertices in path graphs, or...

total influence can also be defined using the discrete Laplacian of the Hamming graph, suitably normalized: Inf ⁡ [ f ] = ⟨ f , L f ⟩ {\displaystyle \operatorname...

The Hamming scheme, named after Richard Hamming, is also known as the hyper-cubic association scheme, and it is the most important example for coding...

the second. Under a reasonable representation of graphs, this is equivalent to the earlier Hamming distance definition (up to possibly a change of constants)...

mathematician Richard Hamming pioneered this field in the 1940s and invented the first error-correcting code in 1950: the Hamming (7,4) code. FEC can be...

correction Gray code Hamming codes Hamming(7,4): a Hamming code that encodes 4 bits of data into 7 bits by adding 3 parity bits Hamming distance: sum number...

graph theory, the Dejter graph is a 6-regular graph with 112 vertices and 336 edges. The Dejter graph is obtained by deleting a copy of the Hamming code...

q-|x_{i}-y_{i}|).} If q = 2 or q = 3 the Lee distance coincides with the Hamming distance, because both distances are 0 for two single equal symbols and...

Academy of Natural Sciences. In 2000, he was awarded the IEEE Richard W. Hamming Medal for his exceptional contributions to information sciences and systems...

that Hamming balls have the smallest vertex boundary among all sets of a given size. Hamming balls are sets that contain all points of Hamming weight...

commune of Ham in 1965 and 1966 respectively. The population data given in the table and graph below for 1962 and earlier refer to the commune of Ham excluding...

American mathematician specializing in graph theory, including graph coloring, dominating sets, and spectral graph theory. Her interests also include personalized...

with median graphs more generally, squaregraphs are also partial cubes: their vertices can be labeled with binary strings such that the Hamming distance...

distance support for floating-point data, Hamming distance and jaccard distance for binary data, Support of graph indices (including HNSW), Inverted-lists...