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 ...

This is a preview. Log in through your library . Abstract This paper is mainly concerned with the realizability of a set of n integers as the degrees of vertices of an n-vertex linear graph. Other ...

A graph is a good way to illustrate some relations between things. But, not all relations can be illustrated by this graph. So, in this paper we will define a new type of graph, we call it a ...

Figure 1: A graph and a partition into two subsets S, S _ . In this case, the two subsets have equal number of vertices; such a partition is called a bisection. The number of edges crossing the cut is ...

Spectral graph clustering—clustering the vertices of a graph based on their spectral embedding—is of significant current interest, finding applications throughout the sciences. But as with clustering ...

Given an integer n representing number of vertices. Find out how many undirected graphs (not necessarily connected) can be constructed out of a given n number of vertices. - Complete the function ...

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 ...