2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184873We derive new results for the number of star and watermelon configurations of vicious walkers in the presence of an impenetrable wall by showing that these follow from standard results in the theory of Young tableaux, and combinatorial descriptions of symmetric functions. For the problem of $n$-friendly walkers, we derive exact asymptotics for the number of stars and watermelons both in the absence of a wall and in the presence of a wall.35 pages, AmS-LaTeX; Definitions of n-friendly walkers clarified; the statement of Theorem 4 and its proof were correctedStatistical MechanicsHigh Energy Physics - LatticeHigh Energy Physics - TheoryMathematical PhysicsCombinatorics17B20 (Primary) 05A15 05E05 05E10 82B20 82B23 (Secondary)text