Source: wikibot/cereceda-s-conjecture

= Cereceda's conjecture
{wiki=Cereceda's_conjecture}

Cereceda's conjecture is a conjecture in the field of graph theory that pertains to the properties of certain classes of graphs. The conjecture states that for every finite graph \\( G \\) with at least one edge, the set of all the vertices of \\( G \\) can be partitioned into a set of vertices of even degree and a set of vertices of odd degree, such that. This partitioning is not trivial and has interesting implications for the structure of the graph.