OK, in your home directory (~), check for the file
.xinitrc
Normally this is run when you type
startx (i.e. you booted to a text prompt). If you're booting to a graphical login, it shouldn't be running, but I'd still check for it in anycase.
If it is there, look for a line that either has
konqueror something, or something similar. Or, post it here.