In other words, we use only four super nodes among the k projections or super nodes. The Embed-node( A) algorithm, as shown in Table 6.1, embeds all nodes A = 00 Prefa N − 3 a N − 2 a N − 1 ( A Є V) into the first super node or into the projection G N′, all nodes A = 10 Prefa N − 3 a N − 2 a N − 1 into G N′, all node A = 01 Prefa N − 3 a N − 2 a N − 1 into G N′, and all nodes A = 11 Prefa N − 3 a N − 2 a N − 1 into G N′. Let k = 2 m + 1, where m ∈ ℕ, and TQ n be obtained from two copies of 0 TQ 2 m′ and 1 TQ 2 m′ and suppose that for N = 2 m we have 0 TQ N′ and 1 TQ N′, that is to say, 00 TQ N − 1′, 01 TQ N − 1′ and 10 TQ N − 1′, 11 TQ N − 1.′ However, the dilation of embedding into G k − 1′ is 3 (hypothesis of induction). That is to say, they are embedded into G k − 1′. All nodes A Є V, that is, A = 1 prefa k − 3 a k − 2 a k − 1 or A = Pref 2 a k − 3 a k − 2 a k − 1 are embedded into the second super node or into the projection G k′, as shown in Table 6.5. All nodes A Є V, such that, A = 0 Prefa n − 3 a n − 2 a n − 1 = Pref 1 a k − 3 a k − 2 a k − 1, are embedded by Embed_node( A) algorithm, as shown in Table 6.4, into the first super node or into the projection G k′. TQ n′ = ( V, U1) is constructed by two copies of TQ n − 1′: one copy is prefixed by 0(0 TQ k − 1′) and the second one is prefixed by 1(1 TQ k − 1′). Let us now prove that it is true for k = n. Suppose that for k ≤ n − 1, TQ k − 1′ embedding many-to-one dilation 3 into Q k − 1′ is true. P roof.– We prove lemma 6.1 by induction.įor n = 3, Table 6.1 presents all paths between the embedded nodes of TQ 3 into G 3 with dilation 3. The n-dimensional twisted hypercube TQ n′ = ( V, U1) has many-to-one dilation 3 embedding into G n′ = ( P n′, E n′) for any n > 3. Zerarka, in Building Wireless Sensor Networks, 2017 6.4.1 Lemma 6.1 I have a few other ones I rarely use, but those are my main ones.Smain Femmam, Faouzi M. I have one that invites a list of people I normally team with just one keystroke. The Boss macro is a natural, as is 'Assist target and execute shortcut 5', which may be a careplan, nuke, or heal depending on which action bar I'm using. My alt and I have one that targets the other and follows her handy for the 'rez and run' as otherwise it'd take me long enough to figure out which way to run that I'd get eaten again. Since I generally use Material Specializations on my prospecting, I use the simplest form,and to save time, I actually have an icon for it on my dig bars, so I can execute it by just pressing 1. Like Mjollren, I had to edit it a little since there were times where someone else would be digging 50-100m away and it'd run to their spots instead of mine for some reason. I combined my KP macro (that looks for all four) with my 'start digging nearest Raw Material Source with my name on it' macro just to save hassles in PR. Seeing Staro or Fylish approach the Outback Ramp means you need to stop, let them pass, then attempt to go up or down the ramp.Ĭasually checking for bosses as you stroll around Atys doesn't need to be explained :) If anything, a list of aggro nameds is useful. The list is long, and you would need several macros to list them all. Obviously this has some shortcomings, due to how the targeting system works (closest entity). If all four types come up in Sys Info as found, you might be looking at a patrol. Attempts to target four entities in a row - Great, Gruesome, Killer and Lacerating Kirosta. Useful if you go into regions where kitin patrols roam. Mostly useful in a group where all healers and/or damage-doers must switch targets frequently. Beats auto-running.Ĭomprised of steps 1 and 2 of the careplan macro. Highly useful if you must keep moving, but need to switch your attention to something else for a bit.

You will follow the entity you're currently targeting. If zero people are in region, the odds of getting a quick rez are lower tread carefully. This implies you have your Sys Info tab detached and visible at all times. It literally goes into chat mode and says '/who' quickly. Target, target current target's target, run the careplan action. Mostly used when you're just starting out, if you're careplanning for someone you might as well automate it. It can be made to cover variations of the Knowledge stanza, for instance ten lines for the ten material types shown by Knowledge 1. If you switch around to heal someone, you must then return to your 'dig' bar.

Raw Material Source ), and it runs the dig action this implies you are on the correct action bar, of course. In its simplest form, this macro targets an entity (e.g. A little curiosity, what macros do people use?

Ryzom super nodes