: It is well-known that constraint satisfaction problems (CSP) over an unbounded domain can be solved in time nO(k) if the treewidth of the primal graph of the instance is at most ...
Abstract. Although Cai, F¨urer and Immerman have shown that fixedpoint logic with counting (IFP + C) does not express all polynomialtime properties of finite structures, there h...
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
NLC-width is a variant of clique-width with many application in graph algorithmic. This paper is devoted to graphs of NLC-width two. After giving new structural properties of the ...
Vincent Limouzy, Fabien de Montgolfier, Michaë...
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...