Splitting up the nodes of a Graph such that all nodes in these graphs have even degree.
71990
Prove there always exists a partition such that vertices in each part have even degree
43555
Show that a finite regular bipartite graph has a perfect matching
33603
How to get all Perfect or Near-Perfect Matchings of a graph
19219
On the invertibility of the adjacency matrix of a graph
100256
Proof by induction on a rooted tree with even number of vertices
71154
Why a complete graph has $\frac{n(n-1)}{2}$ edges?
83036
f(g(x)) has a degree divisible by n
48692
A problem about the graph theory
129752
How to find whether it is possible for each vertex of a graph to have a different degree?
134242
Graph partition that span a third of edges
65552
Vertex descendants subgraph
49703
Analogue of closed graph theorem
45514
Friendly graph partitioning
38466
Proving that the number of vertices of odd degree in any graph G is even
79631
Find a graph on eight vertices with a pair of pseudosimilar vertices
59831
How to relate combinatorial proof to bipartite graphs?
121130
Graph with even vertices and ${n-1}\choose 2$ $+ 1$ edges has a perfect matching