Titlebook: Computing and Combinatorics; 28th International C Yong Zhang,Dongjing Miao,Rolf M?hring Conference proceedings 2022 The Editor(s) (if appli

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,Refutation of?Spectral Graph Theory Conjectures with?Monte Carlo Search,We demonstrate how Monte Carlo Search (MCS) algorithms, namely Nested Monte Carlo Search (NMCS) and Nested Rollout Policy Adaptation (NRPA), can be used to build graphs and find counter-examples to spectral graph theory conjectures in minutes.

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,Approximation Algorithms for?the?Min-Max Mixed Rural Postmen Cover Problem and?Its Variants,ndition, i.e. for every arc there is a parallel edge of no greater weight, we propose an algorithm for the MRPCP, whose approximation ratio lies between . and . depending on the ratio of the weight of . to that of .. When . and ., it is a .-approximation algorithm for the Min-Max Stacker Crane Cover

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,Revisiting Maximum Satisfiability and?Related Problems in?Data Streams,ng .-SAT problem that asks to decide whether one can satisfy all size-. input clauses must use . space..We also consider the related minimum satisfiability problem (.), introduced by Kohli et al. (SIAM J. Discrete Math. 1994), that asks to find an assignment that minimizes the number of satisfied cl

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