We prove the conjecture of Abbott and Katchalski that for every m ≥ 2 there is a positive constant λm such that S(K d mn) ≥ λmnS(K m ) where S(K m) is the length of the longest snake (cycle without chords) in the cartesian product K m of d copies of the complete graph Km. As a corollary, we conclude that for any finite set P of primes there is a constant c = c(P ) > 0 such that S(K n) ≥ cnd−1 f...

Abstract We present the clinical case of a 58 year old patient with left subcostal incisional hernia, years after an emergent aortic thrombectomy and aortobifemoral bypass. The physical examination revealed lateral bulge near anterior axillary line. CT findings showed 5 cm defect without significant muscular atrophy. An endoscopic ipsilateral transversus abdominal release (TAR) preperitoneal me...