Outerplanar crossing numbers, the circular arrangement problem and isoperimetric functions

We extend the lower bound in [15] for the outerplanar crossing number (in other terminologies also called convex, circular and one-page book crossing number) to a more general setting. In this setting we can show a better lower bound for the outerplanar crossing number of hypercubes than the best lower bound for the planar crossing number. We exhibit further sequences of graphs, whose outerplanar crossing number exceeds by a factor of log n the planar crossing number of the graph. We study the circular arrangement problem, as a lower bound for the linear arrangement problem, in a general fashion. We obtain new lower bounds for the circular arrangement problem. All the results depend on establishing good isoperimetric functions for certain classes of graphs. For several graph families new near-tight isoperimetric functions are established

Mesto kot vrt, vrt kot mesto

Pričujoči prispevek izhaja iz sodobnih premikov v razumevanju razmerij med človekom in njegovim okoljem ter pojmovanja napredka. Hannovrski EXPO sproža vrsto vprašanj v zvezi z razmerji med človekom, naravo in tehnologijo. Kaže tudi vrsto svežih iskanj možnosti bivanja. V prispevku sta preučeni zamisli naravnih mestnih hodnikov in vertikalnega parka ter način njune materializacije v dveh reprezentativnih detajlih EXPO 2000

WP2 T2.4 MEDIA T06 Ghostrockers

<p>MEDIA T06, 360 Orah 4i test content - children’s live broadcast award show</p

WP2 T2.4 MEDIA T05 Cyclocross Straight through the wood

<p>Straight through the woode.zip: codec mp4 (60MB/S), taken from 7 camera GOPRO rig, raw material suitable for stitching software (Videostitch)</p

Rate and pattern of bush encroachment in Eastern Cape savanna and grassland

The rate and pattern of bush encroachment in the grasslands and savannas of the Kei Road-Komga region of the Eastern Cape were quantified by analysis of nine sets of aerial photographs taken between 1937 and 1986. Woody cover increased from 17% to 35% over this period. with most of the increase occurring after 1963 and possibly related to well above-average rainfall. Bush encroachment involved the invasion of grassland and the thickening of savanna. Valleys were always two to three times more wooded than slopes or uplands respectively, although the extent of increase (55%) of woody cover of all three categories was similar. The probability of change of sites from one category of woody cover to another indicate the system is tending toward a severely encroached state. The levels of encroachment recorded in this study are expected to impact livestock production.Keywords: Aerial photographs; woody invasionAfrican Journal of Ranfe and Forage Science 16(1): 26–3

WP2 T2.4 MEDIA T05 Cyclocross In tent after race 2

<p>In tent after race_2.zip: codec mp4 (60MB/S), taken from 7 camera GOPRO rig, raw material suitable for stitching software (Videostitch)</p

WP2 T2.4 MEDIA T05 Cyclocross In tent after race 1

<p>In tent after race_1.zip: codec mp4 (60MB/S), taken from 7 camera GOPRO rig, raw material suitable for stitching software (Videostitch)</p

WP2 T2.4 MEDIA T05 Cyclocross Commentator Paul and Michel start

<p>Commentator Paul and Michel_start.zip: codec mp4 (60MB/s), taken from 4 camera GOPRO rig,<br> raw material suitable for stitching software (Videostitch)</p

WP2 T2.4 MEDIA T08 Live pilot 3 VG&G, music stage

<p>cam1.mpegts</p> <p>TV show: late night talks show "Van Gils and Guests"</p> <p>cameraposition 1: music stage</p> <p>codec: h.264, mpeg4<br> dims: 3840x2160<br> framerate:25</p> <p> </p

WP2 T2.4 MEDIA T05 Cyclocross Commentator Paul and Michel finish

<p>Commentator Paul en Michel_finish.zip: codec mp4 (60MB/s), taken from 4 camera GOPRO rig (two shots not absolute by camera malfunction), raw material suitable for stitching software (Videostitch)</p