General Help for Combinatorics and Graph Theory

AI Thread Summary
The discussion centers on challenges faced in a Finite Mathematical Structures course, particularly in understanding graph theory concepts like isomorphisms and edge coverings. The original poster finds the textbook, "Applied Combinatorics" by Tucker, lacking in theoretical explanations but useful for problem-solving. Participants clarify terms such as "incident" and "adjacent," emphasizing the importance of understanding definitions in combinatorics and graph theory. The conversation highlights the difficulty of transitioning from calculus to more abstract mathematical concepts. Overall, the thread underscores the need for additional resources and clearer explanations to grasp the complexities of the subject.
JasonJo
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hey guys I am taking a class right now called Finite Mathematical Structures, and I am having a pretty tough time. although it's only about 1 - 2 weeks into the semester, i am having a hard time actually understanding graph theory problems.

so far we are doing isomorphisms, edge coverings, corner coverings, the even-odd edge theorem, etc.

i am using Applied Combinatorics by Tucker (coincidentally, he is also my Professor for the course) and I think the text is kinda weak for theory, but for applications and problems its great.

can anyone offer me any links or general seeds of advice for a discrete math course like this? i am so used to calculus and things of that nature, i am not used to such an abstract level of mathematics.
 
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bondy and murty text.

Lol calculus over combinatoris/number/graph...hehe. NEVER.

Which terms are you having problems with?
 
his textbook does not explain what incident means, what does it mean?
 
sure it does...he's got examples...well the vs i have its bondy & MURTY

adjacent is node 2 node right? if that's correct
then incident is node to edge...

that is if you have G=[V,E] V = { v0,v1,v2 } E= {e0,e1,e2}
s.t e0 = [v0,v1], e1 = [v1,v2], e2=[v0,v0] i ignore the psi(i think it is) notation.
then e0 is incident to v0 once and e2 is incident 2x.

and the incidence matrix is
xxe0e1e2
v0 1 0 2
v1 1 1 0
v2 0 1 0
as for its uses its been a while so i don't really know.
 
oh. it's god damn hard
 
I took Graph Theory last term. I enjoyed it very much.

No textbook though. Mostly his lecture notes and browsing books and internet for assignments.

My main issue was all the definitions. So many of them.
 
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