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489 JOEL FRIEDMAN: On Cayley graphs on the symmetric group generated by t r a n p o s i t i o n s

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COMBINATORICA • Volume 20 • Number 4 • 2000

CONTENTS

NOGA ALON, ELDAR FISCHER, MICHAEL KRIVELEVICH, MARIO SZEGEDY:

Efficient testing of large graphs . . . 451 MALGORZATA BEDNARSKA, TOMASZ LUCZAK: Biased positional games for

which random strategies are nearly o p t i m a l . . . 477 ROBIN FORMAN: Morse theory and evasiveness . . . 489 JOEL FRIEDMAN: On Cayley graphs on the symmetric group generated by

t r a n p o s i t i o n s . . . 505 A. V. KOSTOCHKA, M. STIEBITZ: On the number of edges in colour-critical

graphs and hypergraphs . . . 521 BENOIT LAROSE, CLAUDE TARDIF: Hedetniemi's conjecture and the re-

tracts of a product of graphs . . . 531 NATHAN LINIAL, ALEX SAMORODNITSKY, AVI WIGDERSON: A determin-

istic strongly polynomial algorithm for matrix scaling and approx- imate p e r m a n e n t s . . . 545 LAJOS RONYAI: On a conjecture of Kemnitz . . . 569 ALEXANDER SCHRIJVER: Total dual integrality of matching forest con-

straints . . . 575 GEZA TOTH: Finding convex sets in convex p o s i t i o n . . . 589

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