For acyclic systems the center of a graph has been known to be either a single vertex of two adjacent vertices, that is, an edge. It has not been quite clear how to extend the concept of graph center ...

A vertex in a graph. It can be automatically converted to a vector corresponding to its position. It also has a label. An edge linking two vertices, identified by their indices in the graph's list of ...

A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections. “It’s a bit of a surprise, at least for me, that such a combination ...

The cubic fuzzy graph structure, as a combination of cubic fuzzy graphs and fuzzy graph structures, shows better capabilities in solving complex problems, especially in cases where there are multiple ...

Abstract: There exists a mapping f: E (g)→{1,2, …, Q}, for an undirected connected graph G (p, q), where p is the number of vertices and q is the number of edges, the associated edges of those ...

The code has two lists, one of the graph vertices and one of the colors(Taking an example of 4 vertices graph and 5 colors) Adjacent Vertices for each vertex in the ...

Abstract: Vertex-frequency analysis (VFA) is a useful technique in graph signal processing to extract the correspondence between frequencies and vertices. VFA can be calculated by the windowed graph ...

College of Mathematics and System Sciences, Xinjiang University, Urumqi, China. The traditional connectivity and edge-connectivity, are important measures for networks, which can correctly reflect the ...