human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "an algorithmic blend of lps and ring equations for promise csps"
  Abstract: Promise CSPs are a relaxation of constraint satisfaction problems where the goal is to find an assignment satisfying a relaxed version of the constraints. Several well-known problems can be cast as promise CSPs including approximate graph coloring, discrepancy minimization, and interesting variants of satisfiability. Similar to CSPs, the tractability of promise CSPs can be tied to the structure of operations on the solution space called polymorphisms, though in the promise world these operations are much less constrained. Under the thesis that non-trivial polymorphisms govern tractability, promise CSPs therefore provide a fertile ground for the discovery of novel algorithms. #R##N#In previous work, we classified Boolean promise CSPs when the constraint predicates are symmetric. In this work, we vastly generalize these algorithmic results. Specifically, we show that promise CSPs that admit a family of "regional-periodic" polymorphisms are in P, assuming that determining which region a point is in can be computed in polynomial time. Such polymorphisms are quite general and are obtained by gluing together several functions that are periodic in the Hamming weights in different blocks of the input. #R##N#Our algorithm is based on a novel combination of linear programming and solving linear systems over rings. We also abstract a framework based on reducing a promise CSP to a CSP over an infinite domain, solving it there, and then rounding the solution to an assignment for the promise CSP instance. The rounding step is intimately tied to the family of polymorphisms and clarifies the connection between polymorphisms and algorithms in this context. As a key ingredient, we introduce the technique of finding a solution to a linear program with integer coefficients that lies in a different ring (such as $\mathbb Z[\sqrt{2}]$) to bypass ad-hoc adjustments for lying on a rounding boundary.

Connected through hyperedge HE-1 (induced by source paper "the power of the combined basic lp and affine relaxation for promise csps"):
  with members:
    - "dichotomy for symmetric boolean pcsps"
    - "algebraic approach to promise constraint satisfaction"
    - "a dichotomy theorem for nonuniform csps"

Connected through hyperedge HE-2 (induced by source paper "improved hardness for h colourings of g colourable graphs"):
  with members:
    - "the complexity of 3 colouring h colourable graphs"
    - "simplified inpproximability of hypergraph coloring via t agreeing families"
    - "dichotomy for symmetric boolean pcsps"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"
    - "a dichotomy theorem for nonuniform csps"
    - "robustly solvable constraint satisfaction problems"
    - "improved hardness of approximating chromatic number"

Connected through hyperedge HE-3 (induced by source paper "the complexity of 3 colouring h colourable graphs"):
  with members:
    - "improved hardness for h colourings of g colourable graphs"
    - "simplified inpproximability of hypergraph coloring via t agreeing families"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "robustly solvable constraint satisfaction problems"
    - "improved hardness of approximating chromatic number"

Connected through hyperedge HE-4 (induced by source paper "algebraic theory of promise constraint satisfaction problems first steps"):
  with members:
    - "promises make finite constraint satisfaction problems infinitary"
    - "algebraic approach to promise constraint satisfaction"
    - "promise constraint satisfaction algebraic structure and a symmetric boolean dichotomy"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "improved hardness of approximating chromatic number"

Connected through hyperedge HE-5 (induced by source paper "the complexity of promise sat on non boolean domains"):
  with members:
    - "symmetric polymorphisms and efficient decidability of promise csps"
    - "the complexity of 3 colouring h colourable graphs"
    - "dichotomy for symmetric boolean pcsps"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"
    - "a new multilayered pcp and the hardness of hypergraph vertex cover"

Connected through hyperedge HE-6 (induced by source paper "symmetric polymorphisms and efficient decidability of promise csps"):
  with members:
    - "improved hardness for h colourings of g colourable graphs"
    - "the complexity of 3 colouring h colourable graphs"
    - "algebraic approach to promise constraint satisfaction"
    - "the proof of csp dichotomy conjecture"
    - "absorbing subalgebras cyclic terms and the constraint satisfaction problem"

Connected through hyperedge HE-7 (induced by source paper "promises make finite constraint satisfaction problems infinitary"):
  with members:
    - "algebraic approach to promise constraint satisfaction"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "the algebraic dichotomy conjecture for infinite domain constraint satisfaction problems"
    - "absorbing subalgebras cyclic terms and the constraint satisfaction problem"

Connected through hyperedge HE-8 (induced by source paper "bridging between 0 1 and linear programming via random walks"):
  with members:
    - "which np hard sat and csp problems admit exponentially improved algorithms"
    - "0 1 integer linear programming with a linear number of constraints"
    - "3 sat faster and simpler unique sat bounds for ppsz hold in general"

Question: Please tell me which class the center node 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)