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 "searching for an algebra on csp solutions"):
  Abstract: The Constraint Satisfaction Problem (CSP) is a problem of computing a homomorphism ${\bf R}\to {\bf \Gamma}$ between two relational structures, where ${\bf R}$ is defined over a domain $V$ and ${\bf \Gamma}$ is defined over a domain $D$. In fixed template CSPs, denoted $CSP({\bf \Gamma})$, the right side structure ${\bf \Gamma}$ is fixed and the left side structure ${\bf R}$ is unconstrained. #R##N#In the last 2 decades it was impressively revealed that those templates ${\bf \Gamma}$ are tractable that are preserved under certain polymorphisms $p_1, ..., p_k$. Moreover, the set of all homomorphisms from ${\bf R}$ to ${\bf \Gamma}$ are preserved under the same $p_1, ..., p_k$. I.e. $p_1, ..., p_k$ not only guide us in the decision problem, but also define algebraic properties of the solutions set. #R##N#This view makes of interest the following formulation: given a prespecified finite set of algebras ${\mathcal B}$ whose domain is $D$, is it possible to present the solutions set of a CSP instance as a subalgebra of ${\mathbb A}_1\times ... \times {\mathbb A}_{|V|}$ where ${\mathbb A}_i\in {\mathcal B}$? #R##N#We study this formulation and prove that the latter problem itself is an instance of a certain fixed-template CSP, over another template ${\bf \Gamma}^{\mathcal B}$. We prove that $CSP({\bf \Gamma}^{\mathcal B})$ can be reduced to a certain fragment of $CSP({\bf \Gamma})$, under natural assumptions on ${\mathcal B}$. #R##N#We also study the conditions under which $CSP({\bf \Gamma})$ can be reduced to $CSP({\bf \Gamma}^{\mathcal B})$. Since the complexity of $CSP({\bf \Gamma}^{\mathcal B})$ is defined by $Pol({\bf \Gamma}^{\mathcal B})$, we study the relationship between $Pol({\bf \Gamma})$ and $Pol({\bf \Gamma}^{\mathcal B})$. It turns out that if $\mathcal{B}$ is preserved by some $p\in Pol({\bf \Gamma})$, then $p$ can be extended to a polymorphism of ${\bf \Gamma}^{\mathcal B}$.

Includes members:
  Member "a dichotomy theorem for nonuniform csps":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "when symmetries are not enough a hierarchy of hard constraint satisfaction problems")
  Member "the proof of csp dichotomy conjecture":
    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)