An induced packing of odd cycles in a graph is a packing such that there is no edge in a graph between any two odd cycles in the packing. We prove that the problem is solvable in t...
We study the ratio between the minimum size of an odd cycle vertex transversal and the maximum size of a collection of vertex-disjoint odd cycles in a planar graph. We show that th...
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...
Let Kn1,n2,...,nm be a complete m-partite graph with partite sets of sizes n1,n2,...,nm. A complete m-partite graph is balanced if each partite set has n vertices. We denote this c...
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...