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Titlebook: Computer Science – Theory and Applications; 17th International C Alexander S. Kulikov,Sofya Raskhodnikova Conference proceedings 2022 Sprin

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,Partial Vertex Cover on Graphs of Bounded Degeneracy,[Amini et al. (FSTTCS 2009, JCSS 2011)]. Graphs of bounded degeneracy contain many sparse graph classes like planar graphs, .-minor free graphs, and bounded tree-width graphs (see Fig. .). In this work, we prove the following results:
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0302-9743 ia, June 29-July 3, 2022.. The 21 full papers were carefully reviewed and selected from 51 submissions. The papers cover a broad range of topics, such as formal languages and automata theory, geometry and discrete structures; theory and algorithms for application domains and much more.978-3-031-0957
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Double Salts, Complexes and Dispersionsthis predicate with . states, where . (resp., .) is the number of 1’s (resp., 0’s) in the binary representation of . (resp., .). This improves upon an upper bound . due to Blondin et al. We also show that any 1-aware protocol for our problem must have at least . states. This improves upon a lower bound . due to Blondin et al.
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,The Fast Algorithm for Online k-server Problem on Trees,r prepossessing, where . is the number of nodes in a tree. Another implementation of the algorithm has . time complexity for processing a query and . for prepossessing. We provide a new time-efficient implementation of the algorithm. It has .(.) time complexity for preprocessing and . for processing a query.
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The Chemistry Knowledge for Firefightersd to a deterministic automaton with . states, . stack symbols and the same clock constraints as in the original automaton. The construction is shown to be asymptotically optimal with respect to both the number of states and the number of stack symbols.
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