Trees with two nonadjacent vertices of degree larger than two are not integral. This settles a question by Watanabe & Schwenk (1979).
|Journal||Bulletin of the Institute of Combinatorics and its Applications|
|Publication status||Published - 2011|
Brouwer, A. E., Del-Vecchio, R. R., Jacobs, D. P., Trevisan, V., & Vinagre, C. T. M. (2011). Integral trees homeomorphic to a double star. Bulletin of the Institute of Combinatorics and its Applications, 61, 77-80.