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Mar 14, 2019 at 19:37 comment added Juho FWIW, if you search for "happy coloring", you'll come across the problem of completing the partial vertex-coloring of a graph so as to maximize the number of happy edges (an edge is happy if its endpoints have the same color). There is a vertex variant as well, where the goal is to maximize the number of vertices whose neighborhood has received the same color. These problems might be motivated by team-building applications.
Mar 9, 2019 at 8:06 comment added Dominic van der Zypen @kodlu At times it felt as if it did ;-)
Mar 9, 2019 at 0:04 comment added kodlu But your party surely didn't have an infinite number of kids :-)
Mar 8, 2019 at 11:35 vote accept Dominic van der Zypen
Mar 8, 2019 at 9:48 answer added Fedor Petrov timeline score: 2
Mar 8, 2019 at 9:01 history edited Dominic van der Zypen CC BY-SA 4.0
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Mar 8, 2019 at 8:59 comment added Dominic van der Zypen Right - I want to exclude $S \in \{\emptyset, V\}$ - thanks for your remark!
Mar 8, 2019 at 8:43 comment added Fedor Petrov if $S=V$, are all happy?
Mar 8, 2019 at 8:36 history asked Dominic van der Zypen CC BY-SA 4.0