Titlebook: Algorithms and Data Structures; 17th International S Anna Lubiw,Mohammad Salavatipour,Meng He Conference proceedings 2021 Springer Nature S

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,Dynamic Dictionaries for Multisets and Counting Filters with Constant Time Operations,, with high probability, supports operations in constant time and requires space that is . times the information-theoretic lower bound for filters plus .(.) bits..The main technical component of our solution is based on efficiently storing variable-length bounded binary counters and its analysis via

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,Incomplete Directed Perfect Phylogeny in Linear Time,properties of the dynamic connectivity problem in this setting, so as to avoid the use of sophisticated data structures as a blackbox. Not only are we successful in doing so, and give a much simpler .-time algorithm for the . problem; our insights into the specific structure of the problem lead to a

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Solving Problems on Generalized Convex Graphs via Mim-Width,ximum degree or an arbitrarily large number of vertices of degree at least 3. In this way we are able to determine complexity dichotomies for the aforementioned graph problems. Afterwards we perform a more refined width-parameter analysis, which shows even more clearly which width parameters are bou