Friday, November 25, 2005

it's over... for me at least...

My semester has ended. Not on a particularly high note as I thought it would at the beginning of the semester. Instead in a low and painful way. Graph Theory was a killer. To those who know a little, try this:

An Eulerian Digraph D is said to be randomly Eulerian from vertex v, if any trail with v as the initial vertex can be extended to an Eulerian trail. For example, in a directed cycle D, D is said to be randomly Eulerian from any vertex as any trail starting from any vertex can be extended to an Eulerian trail.

i) For n=0,1; find such a digraph D, that is randomly Eulerian from exactly n vertices.
ii) State without proof a necessary and sufficient condition for D to be randomly Eulerian from a vertex v.

That was the unseen question in my paper. (Unseen in the sense that the concept is new; we have to learn it and answer it on the spot.) I think I figured out the answer in the end, but it sure consumed a lot of time!

My exams are over! Thank God! Went to the TRAC closing session after that. Was very refreshing! Tomorrow will be bring new challenges. Like I said previously, going to try a little retail therapy. So, if the price is right, the following are on my wishlist when I visit SITEX tomorrow:

i) Jabra BT110
ii) A bluetooth adaptor for my laptop
iii) 512MB of RAM for my laptop (to bring it to 1GB)
iv) Lifebook P1510 (hehe... just kidding...)

Then after that, it will be off to the Integrity and Alby warehouse sale. I've not seen the latest album offerings in a while, so will go take a peak. And if weather permits, I will go to Sentosa; to get a sunburn. No, to take photographs and print out to use as Christmas Cards. I figured that way, it is a lot more unique and chaper!

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