Geeeez… I still have the jitters of workload all piled up on our counseling cubicles. For one, accreditation is nigh. Then we have the annual Teachers’ Evaluation. December, we have Enrolment Promotions. All these at the side dish for our main menu – 100% counseling of students with follow-up and thorough completion of their Guidance Record Forms. Oh well, let me add a written report for every counseling session aside from the anecdotal documentation of some cases.
Then of course, I have this MA in SpEd to attend to, minor in Math which I claim to be my waterloo, but unfortunately, I have to live by and with it for the rest of I don’t know until when so that I am able to increase my marketability for my great American dream. Not that I am anti-Filipino, but because I love the Philippines I want to have my homecoming soon after I have earned enough fortune for me to build a school for kids with special needs – for my Filipino family. You know… great dreams!!!
But I must admit, last Saturday, I was in total mess. I wanted to run to the Graduate College Dean and hand her my class card and shout directly at her face, “Hey, I’m quitting!!!” or maybe, “Girl, I’m dropping-out!!!” or simply put it, “I think I’m dead meat!!!”
You know the feeling of being in a room where everybody knows everybody and everyone knows what they are talking about while you look so terribly dumb in a corner by yourself where all the jargons you are hearing for the first time are simply put on your face yelling at you, “Get the hell out of here, you alien!!!”
Hey, that is what I felt in that little room in my Math class. Graph Theory. Hell! This was my first time ever to know there is some theory about graphs. I encountered a number of graphs in my Statistics class, but never discussed Eulerian G and D or Hamiltonian G and D (whatever these mean?).
And for a little application on our first meeting, we had a seatwork which ended up to be our assignment and ended to be my burden that ended up as my topic in this blog. To share my little problem (that is!!!), here’s a sample of the Problem Set I brought home to answer:
1. Floramel has invited Noemi, Lucila, Jodi and Patricia to her apartment for lunch. She has prepared four sandwiches for them in advance, namely ham, bacon, tuna and chicken salad. Noemi likes tuna and chicken salad, and Lucila prefers ham and chicken salad. Furthermore, Jodi likes bacon and tuna salad, while Patricia enjoys ham and bacon. Can all four have a sandwich they like?
2. Draw the graph G with vertex set {u, v, w, x, y, z} and edge set {uw, wz, vw, wx, wy, wz, xz, yz}. What are the order and size of G?
3. A Chemist wishes to ship the chemicals A, B, C, D, E, F and X using as few containers as possible. Certain chemicals cannot be shipped in the same container since they will react with each other. In particular, any two of the chemicals A, B, C and X react with each other. Furthermore, A and B both react with F and D. Describe a graph that models these relation between the chemicals. Use this graph to find the minimum number of containers needed to ship the chemicals.
4. Janet plans to invite her friends Alex, Bert, Cindy and Dave to dinner. Alex, Bert and Dave all know Cindy. Construct the acquaintance graph of this group of people (which includes Janet) and use it to determine whether the people can be seated around a table so that every two neighbors are acquainted. What is the order and size of this acquaintance graph?
5. Construct a graph of order 5 whose vertices have degrees 1, 2, 2, 3, 4. What is the size of this graph?
6. a. Construct a n r-regular graph of order 8 for each, 0 is less than or equal r less than 8.
Then of course, I have this MA in SpEd to attend to, minor in Math which I claim to be my waterloo, but unfortunately, I have to live by and with it for the rest of I don’t know until when so that I am able to increase my marketability for my great American dream. Not that I am anti-Filipino, but because I love the Philippines I want to have my homecoming soon after I have earned enough fortune for me to build a school for kids with special needs – for my Filipino family. You know… great dreams!!!
But I must admit, last Saturday, I was in total mess. I wanted to run to the Graduate College Dean and hand her my class card and shout directly at her face, “Hey, I’m quitting!!!” or maybe, “Girl, I’m dropping-out!!!” or simply put it, “I think I’m dead meat!!!”
You know the feeling of being in a room where everybody knows everybody and everyone knows what they are talking about while you look so terribly dumb in a corner by yourself where all the jargons you are hearing for the first time are simply put on your face yelling at you, “Get the hell out of here, you alien!!!”
Hey, that is what I felt in that little room in my Math class. Graph Theory. Hell! This was my first time ever to know there is some theory about graphs. I encountered a number of graphs in my Statistics class, but never discussed Eulerian G and D or Hamiltonian G and D (whatever these mean?).
And for a little application on our first meeting, we had a seatwork which ended up to be our assignment and ended to be my burden that ended up as my topic in this blog. To share my little problem (that is!!!), here’s a sample of the Problem Set I brought home to answer:
1. Floramel has invited Noemi, Lucila, Jodi and Patricia to her apartment for lunch. She has prepared four sandwiches for them in advance, namely ham, bacon, tuna and chicken salad. Noemi likes tuna and chicken salad, and Lucila prefers ham and chicken salad. Furthermore, Jodi likes bacon and tuna salad, while Patricia enjoys ham and bacon. Can all four have a sandwich they like?
2. Draw the graph G with vertex set {u, v, w, x, y, z} and edge set {uw, wz, vw, wx, wy, wz, xz, yz}. What are the order and size of G?
3. A Chemist wishes to ship the chemicals A, B, C, D, E, F and X using as few containers as possible. Certain chemicals cannot be shipped in the same container since they will react with each other. In particular, any two of the chemicals A, B, C and X react with each other. Furthermore, A and B both react with F and D. Describe a graph that models these relation between the chemicals. Use this graph to find the minimum number of containers needed to ship the chemicals.
4. Janet plans to invite her friends Alex, Bert, Cindy and Dave to dinner. Alex, Bert and Dave all know Cindy. Construct the acquaintance graph of this group of people (which includes Janet) and use it to determine whether the people can be seated around a table so that every two neighbors are acquainted. What is the order and size of this acquaintance graph?
5. Construct a graph of order 5 whose vertices have degrees 1, 2, 2, 3, 4. What is the size of this graph?
6. a. Construct a n r-regular graph of order 8 for each, 0 is less than or equal r less than 8.
b. Determine the complement of each graph constructed in (a.)
2 comments:
Wow! I would not have thought that graphs could be so helpful. Usually when I see those types of questions, I have to get paper and pencil and work it through.
I know what you mean about the jargon (terms) that are unfamiliar. Jot it down and go online or to the learning center and own that term from then on. Just because we do not know does not mean we can not know.
Have a great week and a wonderful holiday break.
I know the experience of being isolated in a room full of people who seem to know what's going on and speak the language. It is a theme to my life story, I think. But it's not a problem because writers write from the edge. It seems to be a necessary condition. It did after all lead to this marvelous post.
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