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 ...

This is a preview. Log in through your library . Abstract Sierpiński graphs $S_p^n$ form an extensively studied family of graphs of fractal nature applicable in ...