Large components in <i>r</i>‐edge‐colorings of <i>K</i><sub><i>n</i></sub> have diameter at most five
Large components in <i>r</i>‐edge‐colorings of <i>K</i><sub><i>n</i></sub> have diameter at most five
Abstract Reflecting on problems posed by Gyárfás [Ramsey Theory Yesterday, Today and Tomorrow, Birkhäuser, Basel, 2010, pp. 77–96] and Mubayi [Electron J Combin 9 (2002), #R42], we show in this note that every r ‐edge‐coloring of K n contains a monochromatic component of diameter at most five on at least …