Signed degree sequences of signed graphs

Abstract

This paper gives necessary and sufficient conditions for an integral sequence to be the signed degree sequence of a signed graph or a signed tree, answering a question raised by Chartrand et al. (1994). (G. Chartrand, H. Gavlas, F. Harary, and M. Schultz, On signed degrees in signed graphs, Czech. Math. J.44 (1994), 677-690). (C) 1997 John Wiley & Sons, Inc.