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: "deterministic fully dynamic approximate vertex cover and fractional matching in o 1 amortized update time"
  Abstract: We consider the problems of maintaining an approximate maximum matching and an approximate minimum vertex cover in a dynamic graph undergoing a sequence of edge insertions/deletions. Starting with the seminal work of Onak and Rubinfeld [STOC 2010], this problem has received significant attention in recent years. Very recently, extending the framework of Baswana, Gupta and Sen [FOCS 2011], Solomon [FOCS 2016] gave a randomized dynamic algorithm for this problem that has an approximation ratio of $2$ and an amortised update time of $O(1)$ with high probability. This algorithm requires the assumption of an {\em oblivious adversary}, meaning that the future sequence of edge insertions/deletions in the graph cannot depend in any way on the algorithm's past output. A natural way to remove the assumption on oblivious adversary is to give a deterministic dynamic algorithm for the same problem in $O(1)$ update time. In this paper, we resolve this question. #R##N#We present a new {\em deterministic} fully dynamic algorithm that maintains a $O(1)$-approximate minimum vertex cover and maximum fractional matching, with an amortised update time of $O(1)$. Previously, the best deterministic algorithm for this problem was due to Bhattacharya, Henzinger and Italiano [SODA 2015]; it had an approximation ratio of $(2+\epsilon)$ and an amortised update time of $O(\log n/\epsilon^2)$. Our results also extend to a fully dynamic $O(f^3)$-approximate algorithm with $O(f^2)$ amortized update time for the hypergraph vertex cover and fractional hypergraph matching problems, where every hyperedge has at most $f$ vertices.

Connected through hyperedge HE-1 (induced by source paper "an improved algorithm for dynamic set cover"):
  with members:
    - "a new deterministic algorithm for dynamic set cover"
    - "fully dynamic maximal matching in constant update time"
    - "online and dynamic algorithms for set cover"
    - "design of dynamic algorithms via primal dual method"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "analytical approach to parallel repetition"
    - "simple deterministic algorithms for fully dynamic maximal matching"
    - "fully dynamic maximal matching in o log n update time"

Connected through hyperedge HE-2 (induced by source paper "dynamic geometric set cover and hitting set"):
  with members:
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "online and dynamic algorithms for set cover"
    - "design of dynamic algorithms via primal dual method"
    - "deterministic fully dynamic data structures for vertex cover and matching"
    - "analytical approach to parallel repetition"
    - "simple deterministic algorithms for fully dynamic maximal matching"
    - "fully dynamic maximal matching in o log n update time"

Connected through hyperedge HE-3 (induced by source paper "rounding dynamic matchings against an adaptive adversary"):
  with members:
    - "decremental sssp in weighted digraphs faster and against an adaptive adversary"
    - "deterministic algorithms for decremental approximate shortest paths faster and simpler"
    - "tight bounds for online edge coloring"
    - "distributed weighted matching via randomized composable coresets"
    - "online matching with general arrivals"
    - "dynamic low stretch trees via dynamic low diameter decompositions"
    - "a new algorithm for decremental single source shortest paths with applications to vertex capacitated flow and cut problems"
    - "towards a unified theory of sparsification for matching problems"

Connected through hyperedge HE-4 (induced by source paper "a new deterministic algorithm for dynamic set cover"):
  with members:
    - "dynamic matrix inverse improved algorithms and matching conditional lower bounds"
    - "breaking quadratic time for small vertex connectivity and an approximation scheme"
    - "a new algorithm for decremental single source shortest paths with applications to vertex capacitated flow and cut problems"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "dynamic minimum spanning forest with subpolynomial worst case update time"
    - "fully dynamic maximal matching in constant update time"
    - "new deterministic approximation algorithms for fully dynamic matching"

Connected through hyperedge HE-5 (induced by source paper "fully dynamic maximal independent set with polylogarithmic update time"):
  with members:
    - "fully dynamic maximal independent set in expected poly log update time"
    - "exponentially faster massively parallel maximal matching"
    - "simple dynamic algorithms for maximal independent set and other problems"
    - "fully dynamic mis in uniformly sparse graphs"
    - "fully dynamic maximal independent set with sublinear update time"
    - "improved algorithms for fully dynamic maximal independent set"
    - "correlation clustering in data streams"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"

Connected through hyperedge HE-6 (induced by source paper "fully dynamic matching beating 2 approximation in delta epsilon update time"):
  with members:
    - "exponentially faster massively parallel maximal matching"
    - "correlation clustering in data streams"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "dynamic matching reducing integral algorithms to approximately maximal fractional algorithms"
    - "fully dynamic maximal matching in constant update time"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "deterministic fully dynamic data structures for vertex cover and matching"

Connected through hyperedge HE-7 (induced by source paper "dynamic set cover improved algorithms lower bounds"):
  with members:
    - "fully dynamic mis in uniformly sparse graphs"
    - "fully dynamic maximal independent set with sublinear update time"
    - "hardness of approximate nearest neighbor search"
    - "on the hardness of approximate and exact bichromatic maximum inner product"
    - "tight bounds on the round complexity of the distributed maximum coverage problem"
    - "distributed pcp theorems for hardness of approximation in p"
    - "dynamic algorithms for graph coloring"
    - "decremental single source reachability in planar digraphs"

Connected through hyperedge HE-8 (induced by source paper "fully dynamic maximal independent set with sublinear update time"):
  with members:
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "dynamic algorithms for graph coloring"
    - "dynamic graph coloring"
    - "fully dynamic maximal matching in constant update time"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "online and dynamic algorithms for set cover"
    - "fully dynamic all pairs shortest paths with worst case update time revisited"
    - "fully dynamic minimum spanning forest with improved worst case update time"

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.DS(Data Structures and Algorithms)