Examples of using Queue number in English and their translations into Russian
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It has book thickness 3 and queue number 3.
Its queue number is 3 and its upper bound on the book thickness is 5.
It has book thickness 3 and queue number 2.
Every tree has queue number 1, with a vertex ordering given by a breadth-first traversal.
The book thickness is 3 and the queue number is 2.
Information about your queue number appears immediately after clocking the button"Send a request.
Pseudoforests and grid graphs also have queue number 1.
The queue number qn(G) of a graph G is the minimum number of queues in a queue layout.
Limit the kernel request queue(number of requests).
It remains unknown whether the book thickness can be bounded by any function of the queue number.
To park a call in the queue number n, connect the peer to your PBX Center function 7n by transferring the call to the 77n address.
Heath, Leighton& Rosenberg(1992)conjectured that every planar graph has bounded queue number.
If the queue number of planar graphs is bounded, then the same is true for 1-planar graphs and more generally k-planar graphs.
On Wednesdays, the procedures are performed without prior appointments from 2pm to 5pm based on the queue numbers given at the reception.
The book thickness may be much larger than the queue number: ternary Hamming graphs have logarithmic queue number but polynomially-large book thickness.
On Thursdays from 12pm to 1:30pm the procedures are performed without prior appointments based on the queue numbers given at the reception.
Heath, Leighton& Rosenberg(1992) conjectured that the queue number is at most a linear function of the book thickness, but no functional bound in this direction is known either.
Housing commission decides on queuing for 30 days, after that issues a notification with the specified queue number.
See Wood(2002) for a weaker preliminary result,bounding the queue number by the pathwidth or by a combination of treewidth and degree.
The minimum number of pages needed for a queue embedding of a graph is called its queue number.
For any fixed vertex ordering,the product of the book thickness and queue numbers for that ordering is at least as large as the cutwidth of the graph divided by its maximum degree.
Graphs of bounded queue number also have bounded expansion, meaning that their shallow minors are sparse graphs with a ratio of edges to vertices(or equivalently degeneracy or arboricity) that is bounded by a function of the queue number and the depth of the minor.
This implies that these graphs also have small chromatic number: in particular 1-queue graphs are 3-colorable,and graphs with queue number q may need at least 2q+ 1 and at most 4q colors.
Outerplanar graphs have queue number at most 2; the 3-sun graph(a triangle with each of its edges replaced by a triangle)is an example of an outerplanar graph whose queue number is exactly 2.
It is known that,if all bipartite graphs with 3-page book embeddings have bounded queue number, then all graphs with bounded book thickness have bounded queue number.
Graphs with low queue number are sparse graphs: 1-queue graphs with n vertices have at most 2n- 3 edges, and more generally graphs with queue number q have at most 2qn- q(2q+ 1) edges.
In the other direction,a bound on the number of edges implies a much weaker bound on the queue number: graphs with n vertices and m edges have queue number at most O√m.
Logarithmic or polylogarithmic bounds on the queue number translate in the same way into 3d embeddings with near-linear volume, in a grid with one dimension linear and the other two polylogarithmic.
Using a variation of queue number called the strong queue number, the queue number of a graph product can be bounded by a function of the queue numbers and strong queue numbers of the factors in the product.
Ganley& Heath(2001) asked whether the queue number of a graph could be bounded as a function of its treewidth, and cited an unpublished Ph.D. dissertation of S. V. Pemmaraju as providing evidence that the answer was no: planar 3-trees appeared from this evidence to have unbounded queue number.