22 citations · 42 across the 6 of their papers we have counts for
6 papers
Hadwiger conjecture for 8-coloring graph
T. -Q. Wang, X. -J. Wang
Hadwiger Conjecture has been an open problem for over a half century1,6, which says that there is at most a complete graph Kt but no Kt+1 for every t-colorable graph. A few cases o…
A Study on Hand Proof for The Four-Color Theorem
X. -J. Wang, T. -Q. Wang
For the four-color theorem that has been developed over one and half centuries, all people believe it right but without complete proof convincing all1-3. Former proofs are to find…
Quantising Higher-spin String Theories
H. Lu, C. N. Pope, K. Thielemans +2
In this paper, we examine the conditions under which a higher-spin string theory can be quantised. The quantisability is crucially dependent on the way in which the matter currents…
The Complete Cohomology of the W3 String
H. Lu, C. N. Pope, X. J. Wang +1
We present a simple procedure for constructing the complete cohomology of the BRST operator of the two-scalar and multi-scalar strings. The method consists of obtaining two l…
On Higher-spin Generalisations of String Theory
H. Lu, C. N. Pope, X. J. Wang
We construct BRST operators for certain higher-spin extensions of the Virasoro algebra, in which there is a spin- gauge field on the world sheet, as well as the spin-2 gauge fie…
Aspects of N=2 Super-W_n Strings
H. Lu, C. N. Pope, X. J. Wang +1
We construct super- strings and obtain the complete physical spectrum, for arbitrary . We also derive more general realisations of the super- algeb…