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: "improved hardness for cut interdiction and firefighter problems"
  Abstract: We study variants of the classic $s$-$t$ cut problem and prove the following improved hardness results assuming the Unique Games Conjecture (UGC). #R##N#- For any constant $k \geq 2$ and $\epsilon > 0$, we show that Directed Multicut with $k$ source-sink pairs is hard to approximate within a factor $k - \epsilon$. This matches the trivial $k$-approximation algorithm. By a simple reduction, our result for $k = 2$ implies that Directed Multiway Cut with two terminals (also known as $s$-$t$ Bicut) is hard to approximate within a factor $2 - \epsilon$, matching the trivial $2$-approximation algorithm. Previously, the best hardness factor for these problems (for constant $k$) was $1.5 - \epsilon$ under the UGC. #R##N#- For Length-Bounded Cut and Shortest Path Interdiction, we show that both problems are hard to approximate within any constant factor, even if we allow bicriteria approximation. If we want to cut vertices or the graph is directed, our hardness factor for Length-Bounded Cut matches the best approximation ratio up to a constant. Previously, the best hardness factor was $1.1377$ for Length-Bounded Cut and $2$ for Shortest Path Interdiction. #R##N#- Assuming a variant of the UGC (implied by another variant of Bansal and Khot), we prove that it is hard to approximate Resource Minimization Fire Containment within any constant factor. Previously, the best hardness factor was $2$. #R##N#Our results are based on a general method of converting an integrality gap instance to a length-control dictatorship test for variants of the $s$-$t$ cut problem, which may be useful for other problems.

Connected through hyperedge HE-1 (induced by source paper "network resilience assessment via qos degradation metrics an algorithmic approach"):
  with members:
    - "fast maximization of non submodular monotonic functions on the integer lattice"
    - "guarantees for greedy maximization of non submodular functions with applications"
    - "hijacking bitcoin routing attacks on cryptocurrencies"
    - "combinatorial auctions with decreasing marginal utilities"

Connected through hyperedge HE-2 (induced by source paper "on polynomial time combinatorial algorithms for maximum l bounded flow"):
  with members:
    - "a more fine grained complexity analysis of finding the most vital edges for undirected shortest paths"
    - "the computational complexity of finding separators in temporal graphs"
    - "fractals for kernelization lower bounds with an application to length bounded cut problems"

Connected through hyperedge HE-3 (induced by source paper "fpt inapproximability of directed cut and connectivity problems"):
  with members:
    - "directed multicut is w 1 hard even for four terminal pairs"

Connected through hyperedge HE-4 (induced by source paper "generalized metric repair on graphs"):
  with members:
    - "metric violation distance revisited and extended"
    - "extensor coding"
    - "unsupervised metric learning in presence of missing data"
    - "fully dynamic all pairs shortest paths with worst case update time revisited"
    - "cops robbers and threatening skeletons padded decomposition for minor free graphs"
    - "balanced families of perfect hash functions and their applications"
    - "exact matrix completion via convex optimization"

Connected through hyperedge HE-5 (induced by source paper "global and fixed terminal cuts in digraphs"):
  with members:
    - "approximating multicut and the demand graph"
    - "an improved integrality gap for the calinescu karloff rabani relaxation for multiway cut"
    - "simple and fast rounding algorithms for directed and node weighted multiway cut"
    - "directed multicut with linearly ordered terminals"
    - "multiway cut pairwise realizable distributions and descending thresholds"
    - "rounding algorithms for a geometric embedding of minimum multiway cut"

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)