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 "parameters for minimal unsatisfiability smarandache primitive numbers and full clauses"):
  Abstract: We establish a new bridge between propositional logic and elementary number theory. A full clause in a conjunctive normal form (CNF) contains all variables, and we study them in minimally unsatisfiable clause-sets (MU); such clauses are strong structural anchors, when combined with other restrictions. Counting the maximal number of full clauses for a given deficiency k, we obtain a close connection to the so-called “Smarandache primitive number” S2(k), the smallest n such that 2 k divides n!. The deficiency k � 1 of an MU is the difference between the number of clauses and the number of variables. We also consider the subclass UHIT of MU given by unsatisfiable hitting clause-sets, where every two clauses clash. While MU corresponds to irredundant (minimal) covers of the boolean hypercube {0,1} n by sub-cubes, for UHIT the covers must indeed be partitions. We study the four fundamental quantities FCH,FCM,VDH,VDM : N ! N, defined as the maximum number of full clauses in UHIT resp. MU, resp. the maximal minimal number of occurrences of a variable (the variable degree) in UHIT resp. MU, in dependency on the deficiency. We have the relations FCH(k) � FCM(k) � VDM(k) and FCH(k) � VDH(k) � VDM(k), together with VDM(k) � nM(k) � k + 1 + log2(k), for the “non-Mersenne numbers” nM(k), enumerating the natural numbers except numbers of the form 2 n 1. We show the lower bound S2(k) � FCH(k); indeed we conjecture this to be exact. The proof rests on two methods: Applying an expansion process, fundamental since the days of Boole, and analysing certain recursions, combining an application-specific recursion with a recursion from the field of meta-Fibonacci sequences. The S2-lower bound together with the nM-upper-bound yields a good handle on the four fundamental quantities, especially for those k with S2(k) = nM(k) (we show there are infinitely many such k), since then the four quantities must all be equal to S2(k) = nM(k). With the help of this we determine them for 1 � k � 13.

Includes members:
  Member "on davis putnam reductions for minimally unsatisfiable clause sets":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "classification of minimally unsatisfiable 2 cnfs")
  Member "on variables with few occurrences in conjunctive normal forms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "minimal unsatisfiability and deficiency recent developments")

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.DM(Discrete Mathematics)