maths.free › Combinatorics & Graph Theory › Partially Ordered Sets › Discussion
Discussion
Over coffee, Bob said that he really liked this chapter. This material was full of cases of very concrete procedures for doing useful things. I like that.
Discussion
Over coffee, Bob said that he really liked this chapter. This material was full of cases of very concrete procedures for doing useful things. I like that. Yolanda offered a somewhat different perspective On the other hand, this last procedure only seems to work with interval orders and we still don't have a clue as to how to find the width of a poset in the general case. This might be very difficultlike the graph coloring problems discussed in the last chapter. Dave weighed in with Somehow I think there's going to be a fairly efficient process that works for all posets. We may not have all the tools yet, but let's wait a bit.
Not much was said for a while and after a pause, Carlos ventured that there were probably a lot of combinatorial problems for posets that had analogous versions for graphs and in those cases, the poset version would be a bit more complicated, sometime a little bit and sometimes a very big bit. Zori was quiet but she was thinking. These poset structures might even be useful, as she could imagine many settings in which a linear order was impossible or impractical. Maybe there were ways here to earn a few dollars.
ಈಗ ನೀವು ಯಾವುದೇ ಕ್ಯಾಲುಕೇಂಟ್ ಇದನ್ನು ಸಚೇತಗೊಳಿಸುವುದಿಲ್ಲ, ಆದರೆ ಅದರ ತುಂಡುಗಳು ಸಹಕಾರಿಯಾಗುತ್ತವೆ. ಕೆಳಗೆ ಯಾವುದನ್ನು ಪ್ರಯತ್ನಿಸಿ ಅಥವಾ ನಿಮ್ಮದನ್ನು ಟೈಪಿಸಿ.
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ಮೇಲೆ ಗುರುತು ಹಾಕು ಪ್ರವೇಶ (ಲಾಗಿನ್)ಇಲ್ಲಿ ಬಳಸಲಾದ ಸಂಕೇತಗಳು
ಈ ವಚನದಲ್ಲಿ ಬಳಸಲಾಗಿರುವ ಗ್ರೀಕ್‌ ಪದವು, ಚಿತ್ರ ಮತ್ತು ಚಿತ್ರಗಳನ್ನು ನೀವು ಸುಲಭವಾಗಿ ಅರ್ಥಮಾಡಿಕೊಳ್ಳಲು ಸಹಾಯ ಮಾಡುತ್ತದೆ.
ಜನರು ಕೇಳುವುದು
Permutation or combination?
Ask whether order matters. A lock code is a permutation (order matters); a hand of cards is a combination (it does not).
What is a graph in this sense?
Dots (vertices) joined by lines (edges), not a plot. Road maps, social networks and molecules are graphs; questions like "is there a route" and "how few colours" are graph theory.
ಈ ಪುಟದ ಭಾಗಗಳು ಹೊಂದಿಕೆಯಾಗಿ ಮಾಡಲ್ಪಡುತ್ತವೆ Keller & Trotter, Applied Combinatorics (CC BY-SA 4.0). ಇಲ್ಲಿ ಕೊರೆದು ಪುನಃ ಮರುಕಳಿಸಲಾಗಿದೆ; ದೋಷಗಳು ನಮ್ಮದಾಗಿವೆ.
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