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: "extensions of the minimum cost homomorphism problem"
  Abstract: Assume $D$ is a finite set and $R$ is a finite set of functions from $D$ to the natural numbers. An instance of the minimum $R$-cost homomorphism problem ($MinHom_R$) is a set of variables $V$ subject to specified constraints together with a positive weight $c_{vr}$ for each combination of $v \in V$ and $r \in R$. The aim is to find a function $f:V \rightarrow D$ such that $f$ satisfies all constraints and $\sum_{v \in V} \sum_{r \in R} c_{vr}r(f(v))$ is minimized. #R##N#This problem unifies well-known optimization problems such as the minimum cost homomorphism problem and the maximum solution problem, and this makes it a computationally interesting fragment of the valued CSP framework for optimization problems. We parameterize $MinHom_R\left(\Gamma\right)$ by {\em constraint languages}, i.e. sets $\Gamma$ of relations that are allowed in constraints. A constraint language is called {\em conservative} if every unary relation is a member of it; such constraint languages play an important role in understanding the structure of constraint problems. The dichotomy conjecture for $MinHom_R$ is the following statement: if $\Gamma$ is a constraint language, then $MinHom_R\left(\Gamma\right)$ is either polynomial-time solvable or NP-complete. For $MinHom$ the dichotomy result has been recently obtained [Takhanov, STACS, 2010] and the goal of this paper is to expand this result to the case of $MinHom_R$ with conservative constraint language. For arbitrary $R$ this problem is still open, but assuming certain restrictions on $R$ we prove a dichotomy. As a consequence of this result we obtain a dichotomy for the conservative maximum solution problem.

Connected through hyperedge HE-1 (induced by source paper "binarisation for valued constraint satisfaction problems"):
  with members:
    - "the power of sherali adams relaxations for general valued csps"
    - "a galois connection for weighted relational clones of infinite size"
    - "a finer reduction of constraint problems to digraphs"
    - "algebraic properties of valued constraint satisfaction problem"
    - "a reduction from valued csp to min cost homomorphism problem for digraphs"
    - "the complexity of general valued csps"
    - "sherali adams relaxations for valued csps"
    - "robustly solvable constraint satisfaction problems"

Connected through hyperedge HE-2 (induced by source paper "the complexity of finite valued csps"):
  with members:
    - "an algebraic theory of complexity for discrete optimization"
    - "the complexity of conservative valued csps"
    - "the power of linear programming for general valued csps"
    - "computational complexity of the minimum cost homomorphism problem on three element domains"
    - "tractable triangles and cross free convexity in discrete optimisation"
    - "the power of linear programming for valued csps"
    - "an effective fusion technique of cloud computing and networking series"
    - "tractable optimization problems through hypergraph based structural restrictions"

Connected through hyperedge HE-3 (induced by source paper "necessary conditions for tractability of valued csps"):
  with members:
    - "algebraic properties of valued constraint satisfaction problem"
    - "a reduction from valued csp to min cost homomorphism problem for digraphs"
    - "the complexity of general valued csps"
    - "the power of linear programming for general valued csps"
    - "computational complexity of the minimum cost homomorphism problem on three element domains"
    - "an effective fusion technique of cloud computing and networking series"
    - "the power of linear programming for valued csps a constructive characterization"

Connected through hyperedge HE-4 (induced by source paper "sherali adams relaxations for valued csps"):
  with members:
    - "necessary conditions for tractability of valued csps"
    - "algebraic properties of valued constraint satisfaction problem"
    - "local distribution and the symmetry gap approximability of multiway partitioning problems"
    - "the complexity of conservative valued csps"
    - "the power of linear programming for general valued csps"
    - "the power of linear programming for valued csps"
    - "an effective fusion technique of cloud computing and networking series"

Connected through hyperedge HE-5 (induced by source paper "a reduction from valued csp to min cost homomorphism problem for digraphs"):
  with members:
    - "a finer reduction of constraint problems to digraphs"
    - "algebraic properties of valued constraint satisfaction problem"
    - "the complexity of general valued csps"
    - "an algebraic theory of complexity for discrete optimization"
    - "on the reduction of the csp dichotomy conjecture to digraphs"
    - "computational complexity of the minimum cost homomorphism problem on three element domains"

Connected through hyperedge HE-6 (induced by source paper "the complexity of conservative valued csps"):
  with members:
    - "constraint solving via fractional edge covers"
    - "the complexity of approximating conservative counting csps"
    - "tractable triangles and cross free convexity in discrete optimisation"
    - "the power of linear programming for valued csps"
    - "tractable optimization problems through hypergraph based structural restrictions"
    - "the power of linear programming for valued csps a constructive characterization"
    - "min csp on four elements moving beyond submodularity"
    - "hybrid tractability of valued constraint problems"

Connected through hyperedge HE-7 (induced by source paper "towards minimizing k submodular functions"):
  with members:
    - "the complexity of conservative valued csps"
    - "the power of linear programming for valued csps"
    - "min csp on four elements moving beyond submodularity"
    - "submodularity on a tree unifying l natural convex and bisubmodular functions"
    - "on the complexity of submodular function minimisation on diamonds"
    - "the approximability of max csp with fixed value constraints"

Connected through hyperedge HE-8 (induced by source paper "computational complexity of the minimum cost homomorphism problem on three element domains"):
  with members:
    - "the complexity of finite valued csps"
    - "three element min sol and conservative min cost hom"
    - "the power of linear programming for valued csps"
    - "min csp on four elements moving beyond submodularity"
    - "a dichotomy theorem for general minimum cost homomorphism problem"

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)