Search results
Results from the WOW.Com Content Network
2. ^ Grey areas indicate non-assigned code points Template documentation [ view ] [ edit ] [ history ] [ purge ] {{ Unicode chart Symbols and Pictographs Extended-A }} provides a list of Unicode code points in the Symbols and Pictographs Extended-A block.
Spectral graph theory relates properties of a graph to a spectrum, i.e., eigenvalues, and eigenvectors of matrices associated with the graph, such as its adjacency matrix or Laplacian matrix. Imbalanced weights may undesirably affect the matrix spectrum, leading to the need of normalization — a column/row scaling of the matrix entries ...
1. An adjacency list is a computer representation of graphs for use in graph algorithms. 2. List coloring is a variation of graph coloring in which each vertex has a list of available colors. local A local property of a graph is a property that is determined only by the neighbourhoods of the vertices in the graph. For instance, a graph is ...
From the handshaking lemma, a k-regular graph with odd k has an even number of vertices. A theorem by Nash-Williams says that every k ‑regular graph on 2k + 1 vertices has a Hamiltonian cycle. Let A be the adjacency matrix of a graph. Then the graph is regular if and only if = (, …,) is an eigenvector of A. [2]
The choosability (or list colorability or list chromatic number) ch(G) of a graph G is the least number k such that G is k-choosable. More generally, for a function f assigning a positive integer f(v) to each vertex v, a graph G is f-choosable (or f-list-colorable) if it has a list coloring no matter how one assigns a list of f(v) colors to ...
Laplacian matrix — a matrix equal to the degree matrix minus the adjacency matrix for a graph, used to find the number of spanning trees in the graph. Seidel adjacency matrix — a matrix similar to the usual adjacency matrix but with −1 for adjacency; +1 for nonadjacency; 0 on the diagonal. Skew-adjacency matrix — an adjacency matrix in ...
Circulant graphs can be described in several equivalent ways: [2] The automorphism group of the graph includes a cyclic subgroup that acts transitively on the graph's vertices. In other words, the graph has an automorphism which is a cyclic permutation of its vertices. The graph has an adjacency matrix that is a circulant matrix.
2. ^ Grey areas indicate non-assigned code points Template documentation [ view ] [ edit ] [ history ] [ purge ] {{ Unicode chart Miscellaneous Symbols and Arrows }} provides a list of Unicode code points in the Miscellaneous Symbols and Arrows block.