In the 0-extension problem, we are given a weighted graph with some nodes marked as terminals and a semimetric on the set of terminals. Our goal is to assign the rest of the nodes ...
In this paper we consider a natural generalization of the well-known Max Leaf
Spanning Tree problem. In the generalized Weighted Max Leaf problem we get as
input an undirected co...
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
The codegree density γ(F) of an r-graph F is the largest number γ such that there are F-free r-graphs G on n vertices such that every set of r−1 vertices is contained in at le...
The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of K2n+1, not with consistent cycle compo...