Google just announced two updates coming tomorrow to the Knowledge Graph feature that it launched in May. The Knowledge Graph is the summary that now appears to the right of the results for US ...

Abstract Forty years ago, Kleitman considered the numbers of crossings in good planar drawings of the complete bipartite graph ${K_{m,n}}$. Among other things, he ...

Anti-Ramsey theory in graphs is a branch of combinatorial mathematics that examines the conditions under which a graph, when its edges are coloured, must necessarily contain a ‘rainbow’ subgraph – a ...

There’s a lot of talk about CAD software these days, and don’t get us wrong, they’re an essential tool of the trade. But for roughing out an idea, nothing tops paper and a pencil. Even the back of a ...

This is a preview. Log in through your library . Abstract This paper considers the planar decomposition of a complete bipartite graph, that is, the decomposition of a complete bipartite graph into ...