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: "the expressive power of binary submodular functions"
  Abstract: We investigate whether all Boolean submodular functions can be decomposed into a sum of binary submodular functions over a possibly larger set of variables. This question has been considered in several different contexts in computer science, including computer vision, artificial intelligence, and pseudo-Boolean optimisation. Using a connection between the expressive power of valued constraints and certain algebraic properties of functions, we answer this question negatively. Our results have several corollaries. First, we characterise precisely which submodular polynomials of arity 4 can be expressed by binary submodular polynomials. Next, we identify a novel class of submodular functions of arbitrary arities which can be expressed by binary submodular functions, and therefore minimised efficiently using a so-called expressibility reduction to the Min-Cut problem. More importantly, our results imply limitations on this kind of reduction and establish, for the first time, that it cannot be used in general to minimise arbitrary submodular functions. Finally, we refute a conjecture of Promislow and Young on the structure of the extreme rays of the cone of Boolean submodular functions.

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 "complexity of discrete energy minimization problems"):
  with members:
    - "maximum persistency via iterative relaxed inference with graphical models"
    - "a comparative study of modern inference techniques for structured discrete energy minimization problems"
    - "the power of linear programming for valued csps"
    - "efficiently searching for frustrated cycles in map inference"
    - "the power of linear programming for valued csps a constructive characterization"
    - "curvature prior for mrf based segmentation and shape inpainting"
    - "minimizing a sum of submodular functions"

Connected through hyperedge HE-3 (induced by source paper "higher order maximum persistency and comparison theorems"):
  with members:
    - "a new look at reweighted message passing"
    - "maximum persistency via iterative relaxed inference with graphical models"
    - "maximum persistency in energy minimization"
    - "partial optimality by pruning for map inference with general graphical models"
    - "potts model parametric maxflow and k submodular functions"
    - "generalized sequential tree reweighted message passing"
    - "the power of linear programming for valued csps"
    - "efficiently searching for frustrated cycles in map inference"

Connected through hyperedge HE-4 (induced by source paper "graph cuts with interacting edge costs examples approximations and algorithms"):
  with members:
    - "local distribution and the symmetry gap approximability of multiway partitioning problems"
    - "submodular optimization with submodular cover and submodular knapsack constraints"
    - "curvature and optimal algorithms for learning and minimizing submodular functions"
    - "reflection methods for user friendly submodular optimization"
    - "on triangulating dynamic graphical models"
    - "learning mixtures of submodular shells with application to document summarization"
    - "symmetry and approximability of submodular maximization problems"
    - "efficient minimization of decomposable submodular functions"

Connected through hyperedge HE-5 (induced by source paper "half integrality lp branching and fpt algorithms"):
  with members:
    - "towards minimizing k submodular functions"
    - "linear time parameterized algorithms via skew symmetric multicuts"
    - "linear time fpt algorithms via network flow"
    - "the power of linear programming for valued csps"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "faster parameterized algorithms using linear programming"
    - "the power of linear programming for valued csps a constructive characterization"
    - "min csp on four elements moving beyond submodularity"

Connected through hyperedge HE-6 (induced by source paper "the expressibility of functions on the boolean domain with applications to counting csps"):
  with members:
    - "the complexity of conservative valued csps"
    - "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"
    - "the complexity of weighted and unweighted csp"
    - "the complexity of approximately counting stable matchings"
    - "approximating the partition function of the ferromagnetic potts model"
    - "lsm is not generated by binary functions"
    - "approximate counting for complex weighted boolean constraint satisfaction problems"
    - "the complexity of weighted boolean csp"

Connected through hyperedge HE-7 (induced by source paper "an algebraic theory of complexity for discrete optimization"):
  with members:
    - "the complexity of conservative valued csps"
    - "the power of linear programming for valued csps"
    - "hybrid tractability of valued constraint problems"
    - "the approximability of max csp with fixed value constraints"
    - "the approximability of three valued max csp"

Connected through hyperedge HE-8 (induced by source paper "on map inference by mwss on perfect graphs"):
  with members:
    - "map estimation linear programming and belief propagation with convex free energies"
    - "tightening lp relaxations for map using message passing"
    - "map estimation message passing and perfect graphs"
    - "message passing for maximum weight independent set"

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.DM(Discrete Mathematics)