Titlebook: Combinatorics, Graph Theory and Computing; SEICCGTC 2021, Boca Frederick Hoffman,Sarah Holliday,John Wierman Conference proceedings 2024 T

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Private Research and Public Goods: , and define the locating rainbow connection number within this framework. Our main results establish tight upper and lower bounds for . in the context of comb products. Additionally, we determine the locating rainbow connection number for the comb product of an arbitrary graph with a complete graph or a tree.

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Molecular Tools for Plant Breedingtains a cycle. The cycle-compelling number is defined to be the minimum . such that some .-coloring is cycle-compelling. We provide some general bounds and algorithmic results on this and related parameters. We also investigate the value in specific graph families including cubic graphs, disjoint union of cliques, and outerplanar graphs.

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Jo?lle Salomon Cavin,Nelly Niwa the .-splitting operation to the matroids representable over the field .(.),? called the .-matoids. We characterize circuits, and bases of the resulting matroid in terms of the circuits, and the bases of the original matroid, respectively. It is proved that the .-splitting operation preserves the c

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Jo?lle Salomon Cavin,Nelly Niwa if and only if . admits strong complete mappings. A natural question to ask is, which finite groups admit strong complete mappings? We will summarize work done on the existence problem for strong complete mappings of finite groups. We will also establish new classes of strongly admissible 2-groups.

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https://doi.org/10.1007/978-3-030-49012-6 .,?. from . to itself. In this work we relax the condition that . and . are bijections and instead study functions that can be expressed as the difference of two functions with the .. We construct all possible functions .,?. with same value multiset, such that .. As a consequence, we obtain a stron

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