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: "communication lower bounds via critical block sensitivity"
  Abstract: We use critical block sensitivity, a new complexity measure introduced by Huynh and Nordstr\"om (STOC 2012), to study the communication complexity of search problems. To begin, we give a simple new proof of the following central result of Huynh and Nordstr\"om: if $S$ is a search problem with critical block sensitivity $b$, then every randomised two-party protocol solving a certain two-party lift of $S$ requires $\Omega(b)$ bits of communication. Besides simplicity, our proof has the advantage of generalising to the multi-party setting. We combine these results with new critical block sensitivity lower bounds for Tseitin and Pebbling search problems to obtain the following applications: #R##N#(1) Monotone Circuit Depth: We exhibit a monotone $n$-variable function in NP whose monotone circuits require depth $\Omega(n/\log n)$; previously, a bound of $\Omega(\sqrt{n})$ was known (Raz and Wigderson, JACM 1992). Moreover, we prove a $\Theta(\sqrt{n})$ monotone depth bound for a function in monotone P. #R##N#(2) Proof Complexity: We prove new rank lower bounds as well as obtain the first length--space lower bounds for semi-algebraic proof systems, including Lov\'asz--Schrijver and Lasserre (SOS) systems. In particular, these results extend and simplify the works of Beame et al. (SICOMP 2007) and Huynh and Nordstr\"om.

Connected through hyperedge HE-1 (induced by source paper "complexity theory game theory and economics the barbados lectures"):
  with members:
    - "a round collapse theorem for computationally sound protocols or tfnp is hard on average in pessiland"
    - "on communication complexity of fixed point computation"
    - "near optimal communication lower bounds for approximate nash equilibria"
    - "query to communication lifting for bpp"
    - "lifting randomized query complexity to randomized communication complexity"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "the price of anarchy in auctions"

Connected through hyperedge HE-2 (induced by source paper "lifting with simple gadgets and applications to circuit and proof complexity"):
  with members:
    - "extension complexity of independent set polytopes"
    - "near optimal lower bounds on quantifier depth and weisfeiler leman refinement steps"
    - "approximating rectangles by juntas and weakly exponential lower bounds for lp relaxations of csps"
    - "space proof complexity for random 3 cnfs"
    - "lower bounds on the size of semidefinite programming relaxations"

Connected through hyperedge HE-3 (induced by source paper "on communication complexity of fixed point computation"):
  with members:
    - "complexity theory game theory and economics"
    - "near optimal communication lower bounds for approximate nash equilibria"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "inapproximability of nash equilibrium"
    - "query complexity of approximate nash equilibria"
    - "tight bounds for lp samplers finding duplicates in streams and related problems"
    - "metric extension operators vertex sparsifiers and lipschitz extendability"

Connected through hyperedge HE-4 (induced by source paper "query to communication lifting using low discrepancy gadgets"):
  with members:
    - "from expanders to hitting distributions and simulation theorems"
    - "query to communication lifting for bpp"
    - "simulation theorems via pseudorandom properties"
    - "lower bounds on information complexity via zero communication protocols and applications"
    - "information equals amortized communication"
    - "improved direct product theorems for randomized query complexity"
    - "the partition bound for classical communication complexity and query complexity"
    - "a strong direct product theorem for disjointness"

Connected through hyperedge HE-5 (induced by source paper "query to communication lifting for bpp using inner product"):
  with members:
    - "from expanders to hitting distributions and simulation theorems"
    - "query to communication lifting for bpp"
    - "lower bounds on information complexity via zero communication protocols and applications"
    - "information equals amortized communication"
    - "improved direct product theorems for randomized query complexity"
    - "the partition bound for classical communication complexity and query complexity"
    - "a strong direct product theorem for disjointness"

Connected through hyperedge HE-6 (induced by source paper "semi algebraic proofs ips lower bounds and the tau conjecture can a natural number be negative"):
  with members:
    - "proof complexity lower bounds from algebraic circuit complexity"
    - "algebraic proof complexity progress frontiers and challenges"
    - "characterizing propositional proofs as non commutative formulas"
    - "hypercontractivity sum of squares proofs and their applications"
    - "approximability and proof complexity"

Connected through hyperedge HE-7 (induced by source paper "near optimal communication lower bounds for approximate nash equilibria"):
  with members:
    - "distributed methods for computing approximate equilibria"
    - "the communication complexity of local search"
    - "complexity theory game theory and economics"
    - "communication complexity of correlated equilibrium in two player games"
    - "query to communication lifting for bpp"
    - "the query complexity of correlated equilibria"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"

Connected through hyperedge HE-8 (induced by source paper "the communication complexity of local search"):
  with members:
    - "combinatorial auctions with endowment effect"
    - "near optimal communication lower bounds for approximate nash equilibria"
    - "query to communication lifting for bpp"
    - "lifting randomized query complexity to randomized communication complexity"
    - "communication complexity of approximate nash equilibria"

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)