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Category Archives: graphs
Partitions of Graphs XI: The Case of all Sufficiently Large n
This the eleventh in a series, the first being found here: Part 1, and the previous here Part 10. In this post I provide examples of Q1 graphs of all orders n, for sufficiently large n. In particular this will … Continue reading
Partitions of Graphs X: The Case of Composite Integers
This is the tenth in a series, the first being found here: Part 1, and the previous here: Part 9. In this post I introduce a family of graphs that provides examples of Q1 graphs for all composite orders. If … Continue reading
Evening of Math VI
It was late and rushed tonight, but I did manage to do some math with the kids. Actually, A was throwing fits, so I put her to bed. I had B working on the fact that if you have a … Continue reading
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A Morning of Math
I’ve been sick and had to stay home from work the last several days. This morning I told my kids that they could choose to put away their clothes or do math. They chose math. I set both B and … Continue reading
The Chicken’s Claw
I had my fifth evening of math with my kids. I got a box of 100 washers from the hardware store and some yarn. I had the kids draw some graphs and then make some graphs with the washers as … Continue reading
Partitions of Graphs IX: The case of 13
This is the ninth in a series, the first being here: Part 1, and the previous here: Part 8. Here is a Q1 graph for n=13 o / o-o-o-o-o-o-o-o-o-o \ o-o The corresponding Q1 partition is 5+5+3. Unfortunately this … Continue reading
Partitions of Graphs VIII: The case of 11 (and 17)
This is the eighth in a series, the first being here: Part I and the previous here: Part 7. We have shown that there are no Q1 graphs with n=5 nodes or with n=7 nodes. Also, in the case of … Continue reading
