human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "the polynomial hierarchy collapses"):
  Abstract: We illustrate the strength of Algebraic Methods, adapting Gaussian Elimination and Substitution to the problem of Exact Boolean Satisfiability. For 1-in-3 SAT with non-negated literals we are able to obtain considerably smaller equivalent instances of 0/1 Integer Programming restricted to Equality only. #R##N#Both Gaussian Elimination and Substitution may be used in a processing step, followed by a type of brute-force approach on the kernel thus obtained. #R##N#Our method shows that Positive instances of 1-in-3 SAT may be reduced to significantly smaller instances of I.P.E. in the following sense. Any such instance of $|V|$ variables and $|C|$ clauses can be polynomial-time reduced to an instance of 0/1 Integer Programming with Equality, of size at most $2/3|V|$ variables and at most $|C|$ clauses. #R##N#We obtain an upper bound for the complexity of counting, $O(2\kappa r 2^{(1-\kappa) r})$ for number of variables $r$ and clauses to variables ratio $\kappa$. #R##N#We proceed to define formally the notion of a non-trivial kernel, defining the problems considered as Constraint Satisfaction Problems. #R##N#We conclude showing the methods presented here, giving a non-trivial kernel for positive 1-in-3 SAT, imply the existence of a non-trivial kernel for 1-in-3 SAT. #R##N#Our proof shows the structure formerly known as the Polynomial Hierarchy collapses to the level above $P = NP$. That is, we show that $coNP\subseteq NP\setminus P$.

Includes members:
  Member "optimal sparsification for some binary csps using low degree polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "parameterized complexity of conflict free graph coloring")
  Member "sparsification upper and lower bounds for graph problems and not all equal sat":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal polynomial time compression for boolean max csp")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.CC(Computational Complexity)