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 "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.

Includes members:
  Member "new integrality gap results for the firefighters problem on trees":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "firefighting on trees beyond integrality gaps")
  Member "firefighting on trees beyond integrality gaps":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "firefighting on trees")
  Member "fractals for kernelization lower bounds":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "length bounded cuts proper interval graphs and structural parameters")
  Member "local distribution and the symmetry gap approximability of multiway partitioning problems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "optimizing item and subgroup configurations for social aware vr shopping")
  Member "interdiction problems on planar graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a more fine grained complexity analysis of finding the most vital edges for undirected shortest paths")
  Member "hardness of vertex deletion and project scheduling":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "parameterized algorithms for generalizations of directed feedback vertex set")

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)