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: "a new multilayered pcp and the hardness of hypergraph vertex cover"
  Abstract: Given a $k$-uniform hyper-graph, the E$k$-Vertex-Cover problem is to find the smallest subset of vertices that intersects every hyper-edge. We present a new multilayered PCP construction that extends the Raz verifier. This enables us to prove that E$k$-Vertex-Cover is NP-hard to approximate within factor $(k-1-\epsilon)$ for any $k \geq 3$ and any $\epsilon>0$. The result is essentially tight as this problem can be easily approximated within factor $k$. Our construction makes use of the biased Long-Code and is analyzed using combinatorial properties of $s$-wise $t$-intersecting families of subsets.

Connected through hyperedge HE-1 (induced by source paper "an improved algorithm for dynamic set cover"):
  with members:
    - "a new deterministic algorithm for dynamic set cover"
    - "deterministic fully dynamic approximate vertex cover and fractional matching in o 1 amortized update time"
    - "fully dynamic maximal matching in constant update time"
    - "online and dynamic algorithms for set cover"
    - "design of dynamic algorithms via primal dual method"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "analytical approach to parallel repetition"
    - "simple deterministic algorithms for fully dynamic maximal matching"

Connected through hyperedge HE-2 (induced by source paper "tight running time lower bounds for strong inapproximability of maximum k coverage unique set cover and related problems via t wise agreement testing theorem"):
  with members:
    - "a simple gap producing reduction for the parameterized set cover problem"
    - "parameterized intractability of even set and shortest vector problem"
    - "parameterized inapproximability of exact cover and nearest codeword"
    - "tight fpt approximations for k median and k means"
    - "agreement testing theorems on layered set systems"
    - "towards a general direct product testing theorem"
    - "gap s eth hardness of svp"
    - "eth hardness of approximating 2 csps and directed steiner network"

Connected through hyperedge HE-3 (induced by source paper "a new deterministic algorithm for dynamic set cover"):
  with members:
    - "dynamic matrix inverse improved algorithms and matching conditional lower bounds"
    - "breaking quadratic time for small vertex connectivity and an approximation scheme"
    - "a new algorithm for decremental single source shortest paths with applications to vertex capacitated flow and cut problems"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "dynamic minimum spanning forest with subpolynomial worst case update time"
    - "deterministic fully dynamic approximate vertex cover and fractional matching in o 1 amortized update time"
    - "fully dynamic maximal matching in constant update time"

Connected through hyperedge HE-4 (induced by source paper "lp based algorithms for multistage minimization problems"):
  with members:
    - "multistage vertex cover"
    - "online multistage subset maximization problems"
    - "multistage knapsack"
    - "changing bases multistage optimization for matroids and matchings"
    - "facility location in evolving metrics"
    - "dynamic facility location via exponential clocks"
    - "the power of deferral maintaining a constant competitive steiner tree online"
    - "on the tradeoff between stability and fit"

Connected through hyperedge HE-5 (induced by source paper "algorithms for intersection graphs of multiple intervals and pseudo disks"):
  with members:
    - "on approximating partial set cover and generalizations"
    - "on pseudo disk hypergraphs"
    - "epsilon approximations and epsilon nets"
    - "on partial covering for geometric set systems"
    - "approximation schemes for independent set and sparse subsets of polygons"
    - "approximation schemes for maximum weight independent set of rectangles"
    - "approximation algorithms for maximum independent set of pseudo disks"
    - "improved approximation algorithms for geometric set cover"

Connected through hyperedge HE-6 (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"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"

Connected through hyperedge HE-7 (induced by source paper "simplified inpproximability of hypergraph coloring via t agreeing families"):
  with members:
    - "reducing uniformity in khot saket hypergraph coloring hardness reductions"
    - "hardness of finding independent sets in 2 colorable hypergraphs and of satisfiable csps"

Connected through hyperedge HE-8 (induced by source paper "algebraic approach to promise constraint satisfaction"):
  with members:
    - "topology is relevant in a dichotomy conjecture for infinite domain constraint satisfaction problems"
    - "promises make finite constraint satisfaction problems infinitary"
    - "dichotomy for symmetric boolean pcsps"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "improved inapproximability of rainbow coloring"
    - "super polylogarithmic hypergraph coloring hardness via low degree long codes"
    - "promise constraint satisfaction algebraic structure and a symmetric boolean dichotomy"
    - "a dichotomy theorem for nonuniform csps"

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)