18 февр. 2023 г. · To review, a graph G is 3-connected if for every pair of distinct vertices u and v in G, there are at least three internally disjoint paths ...

This paper is concerned with those graphs which are both simple and 3-connected. The central problem is that of determining the simple 3-connected graphs of m + ...

A minimally 3-connected graph is a 3-connected graph G such that, for every edge e of G, the graph G − e is no longer 3-connected. Whenever possible we ...

14 апр. 2021 г. · As suggested in comments, the odd-numbered generalized Petersen graphs G(n,2) would probably form a suitable family. Do two faces of any 3-connected planar graph have at most ... Expansion of 3-connected graphs gives 3-connected graphs Constructing 3-connected graphs - Mathematics Stack Exchange Constructing a 4-edge connected graph that is 2-connected but ... Другие результаты с сайта math.stackexchange.com

15 мар. 2014 г. · Tutte proved that every 3-connected graph with at least 5 vertices has an edge whose contraction leaves a 3-connected graph.

In graph theory, a connected graph G is said to be k-vertex-connected (or k-connected) if it has more than k vertices and remains connected whenever fewer than ...

26 дек. 2010 г. · A 3-connected graph can be obtained from a wheel by succestively adding an edge and splitting a vertex into two adjacent vertices of degree at ...

3 мая 2023 г. · A 3-connected graph is one that remains connected even after removing any two non-adjacent vertices. All 3-connected graphs are not planar.

In this paper we present a construction which characterizes precisely the class of minimally 3-connected graphs. No such characterization has previously been ...