In Exercise 4-3, you were inviting friends to a party and wanted to ensure that each guest knew at least k others there. You’ve realized that things are a bit more complicated. You like some friends more than others, represented by a real-valued compatibility, possibly negative. You also know that many of the guests will attend only if certain other guests attend (though the feelings need not be mutual). How would you select a feasible subset of potential guests that maximizes the sum of your compatibility to them? (You might also want to consider guests who won’t come if certain others do. That’s a bit harder, though—take a look at Exercise 11-19.)
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