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Page 4652 of Mathematical Reviews Vol. , Issue 2002G [page]

<span title="">2002</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(H-BUTE; Budapest) Covers and blocking sets of classical generalized quadrangles. (English summary) Designs, codes and finite geometries (Shanghai, 1999). Discrete Math. 238 (2001), no. 1-3, 35-51.  ...  To obtain this latter result, we generalize a re- sult on minimal covers of lines in PG(3,q) to minimal covers of lines of the classical generalized quadrangles.  ... 
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Page 7386 of Mathematical Reviews Vol. , Issue 2002J [page]

<span title="">2002</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
—8n +2, then J is linear or of Kantor type. (2) There is a unique translation generalized quadrangle of order (4, 16), namely the classical generalized quad- rangle arising from the points and lines of  ...  We now turn our attention to generalized quadrangles (GQ's). Let P be some point of a generalized quadrangle S.  ... 
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Dominating sets in finite generalized quadrangles

Tamás Héger, Lisa Hernandez Lucas
<span title="2020-03-25">2020</span> <i title="University of Primorska Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gvgtrk4iyvatbibvfwr3uifrji" style="color: black;">Ars Mathematica Contemporanea</a> </i> &nbsp;
Moreover, we give a complete classification of smallest dominating sets in generalized quadrangles where s = t, and give some general results for small dominating sets in the general case.  ...  We consider this problem in the incidence graph of a generalized quadrangle.  ...  From now on, we will assume that our generalized quadrangle is thick; that is, s ≥ 2 and t ≥ 2. The most trivial dominating sets are the union of a blocking set and a cover.  ... 
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Finite geometries

A. Blokhuis, J. W. P. Hirschfeld, D. Jungnickel, J. A. Thas
<span title="2008-02-15">2008</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/c45m6ttnaje4xbjsq7m2c6df2a" style="color: black;">Designs, Codes and Cryptography</a> </i> &nbsp;
Storme, On multiple blocking sets in Galois planes P. Sziklai, Small multiple blocking sets in PG(4, q 2 ) with respect to planes K.  ...  Thas, A Lenz-Barlotti classification for finite generalized quadrangles V.D. Tonchev, Formulas for the number of STS and SQS of low 2-rank H. Van Maldeghem, Some remarks on Steiner systems 3  ...  Marcugini) Define a covering C(n, k, r) to be a family of subsets (blocks) of an n-set, such that the following are satisfied: • Each block has size ≤ k. • Each point is on ≤ r blocks. • Any pair of points  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s10623-007-9162-6">doi:10.1007/s10623-007-9162-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yd5cqfmlrfa7zlzeifhhx7qfg4">fatcat:yd5cqfmlrfa7zlzeifhhx7qfg4</a> </span>
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On the size of minimal blocking sets of Q(4; q), for q = 5,7

J. De Beule, A. Hoogewijs, L. Storme
<span title="2004-09-01">2004</span> <i title="Association for Computing Machinery (ACM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hab6y3yvcbd2hpuybkxo2pp34a" style="color: black;">ACM SIGSAM Bulletin</a> </i> &nbsp;
We describe the implementation in GAP of an algorithm to study the problem of the minimal number of points of a minimal blocking set, different from an ovoid, of Q(4, q), for q = 5, 7.  ...  Theorem 2 Let C be a cover of a classical generalized quadrangle S of order (q, t) embedded in PG(d, q).  ...  Classical generalized quadrangles form a subset of the set of all generalized quadrangles, which are intensively studied in [18] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/1040034.1040037">doi:10.1145/1040034.1040037</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3j2ryhwlvnayfhnxu65kb2siv4">fatcat:3j2ryhwlvnayfhnxu65kb2siv4</a> </span>
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Page 7250 of Mathematical Reviews Vol. , Issue 2001J [page]

<span title="">2001</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
We also study minimal 1-blocking sets in PG(n,q*), n >3, q=p", p prime, p > 3, g #5, and prove that the minimal 1-blocking sets of cardinality at most g* + q?  ...  Biller, “Actions of compact groups on spheres and on generalized quadrangles”, Ph.D. thesis, Univ. Stuttgart, Stuttgart, 1999; per bibl.] and [H. R.  ... 
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Page 5076 of Mathematical Reviews Vol. , Issue 98H [page]

<span title="">1998</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
An extended generalized quadrangle (EGQ for short) is a rank 3 geometry with string diagram where the residues of the points are finite generalized quadrangles and the residues of the blocks are finite  ...  Pasini, “A cen- sus of extended generalized quadrangles of order (g — 1,g +1) and (q¢+1,q—1)”, Discrete Math., to appear].  ... 
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A census of extended generalized quadrangles of order (q−1,q+1) and (q+1,q−1)

Alberto Del Fra, Antonio Pasini
<span title="">1999</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
A census of extended generalized quadrangles of order (q − 1; q + 1) and (q + 1; q − 1) Abstract We survey the known extended generalized quadrangles with point-residues of order (q − 1; q + 1) and (q  ...  + 1; q − 1) and construct a new inÿnite family of order (q + 1; q − 1) (q odd).  ...  In particular, W (q), Q 4 (q) (dual of W (q)), Q − 5 (q), H 3 (q 2 ) (dual of O − 5 (q)) and H 4 (q 2 ) are the ÿve types of classical ÿnite thick generalized quadrangles.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0012-365x(99)00072-2">doi:10.1016/s0012-365x(99)00072-2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5ow4a6qwvbfcjbkcl3mupoltmm">fatcat:5ow4a6qwvbfcjbkcl3mupoltmm</a> </span>
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Page 4957 of Mathematical Reviews Vol. , Issue 911 [page]

<span title="">1991</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
The relation between Hjelmslev quadrangles of level nm and ordinary generalized quadrangles is similar to the relation between Hjeimslev planes of level n and ordinary projective planes.  ...  In terms of irreducible blocking sets (those which contain no proper blocking set), they show that PG(2,5) contains one of each order 9, 11, 12 and six of order 10. P. J.  ... 
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Page 413 of Mathematical Reviews Vol. 51, Issue 2 [page]

<span title="">1976</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
The author’s summary now completes the review: “‘A generalized quadrangle of order 3 must be isomorphic either to the quadrangle & or to its dual, where Y, consists of all points of PG(3, 3) and those  ...  A k-block (6;, ---, 5,) is p-coverable if bs =5,_,,, for 1Si Sp (i.e., the sequence of the first p elements is the same as the sequence of the last p elements) and is r-overlappable if it is r- coverable  ... 
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On the metric dimension of affine planes, biaffine planes and generalized quadrangles [article]

Daniele Bartoli, Tamás Héger, György Kiss, Marcella Takáts
<span title="2017-06-20">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We derive that the metric dimension of generalized quadrangles of order (q,q), q≥2, is at least {6q-27,4q-7}, while for the classical generalized quadrangles W(q) and Q(4,q) it is at most 8q.  ...  We prove that the metric dimension of an affine plane of order q≥13 is 3q-4 and describe all resolving sets of that size if q≥ 23.  ...  NN 114614 (in Hungary) and N1-0032 (in Slovenia), and the Bolyai Research Grant.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1706.06583v1">arXiv:1706.06583v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u76t3oen5ffpjdhqtayovhydme">fatcat:u76t3oen5ffpjdhqtayovhydme</a> </span>
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Author index

<span title="">2001</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/civgv5utqzhu7aj6voo6vc5vx4" style="color: black;">Discrete Mathematics</a> </i> &nbsp;
Sziklai, Covers and blocking sets of classical generalized quadrangles (1-3) 35} 51 Gao, S. and H.  ...  Chang, The spectrum for large set of disjoint incomplete , S. and S. Li, Some new extremal self-dual codes with lengths 42, 44, 52, and 58 (1-3) 147}150 Zhang, Y., S. Pang and Y.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0012-365x(01)00245-x">doi:10.1016/s0012-365x(01)00245-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6ay6ni2bffb53pzzlwieqgjeca">fatcat:6ay6ni2bffb53pzzlwieqgjeca</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190412173051/https://core.ac.uk/download/pdf/82520167.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a3/7f/a37f94cc0e2578d5bc45239f2a399eb7de40e50a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0012-365x(01)00245-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Rigorous lower bounds for the topological entropy via a verified optimization technique

Bal´azs B´anhelyi, Tibor Csendes, Barnab´as M. Garay
<span title="">2006</span> <i title="IEEE"> 12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2006) </i> &nbsp;
Our automatic method developed for the detection of chaos is used for finding rigorous lower bounds for the topological entropy of the classical Hénon mapping.  ...  We do this within the abstract framework created by Galias and Zgliczynski in 2001 , and focus on covering graphs involving different iterations. Our results are compared to those obtained by them.  ...  T048377, T046822, and T049819. Barnabás Garay is also affiliated to Analogic and Neural Computing Laboratory, Computer and Automation Institute, H-1111 Budapest.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/scan.2006.39">doi:10.1109/scan.2006.39</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ayrgxa46gnhjvfhn5b4yvp73ve">fatcat:ayrgxa46gnhjvfhn5b4yvp73ve</a> </span>
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Page 288 of Mathematical Reviews Vol. , Issue 89A [page]

<span title="">1989</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(B-GHNT-G) A new look at the classical generalized quadrangles. Ars Combin. 24 (1987), 199-210.  ...  In Il = PG(r,q) a k-set K is called p-saturated if the p-spaces generated by p+ 1 independent points of K cover [1.  ... 
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The inner and outer space of 2-dimensional Laguerre planes

B. Polster, G. F. Steinke
<span title="">1997</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qucxg3yndjaptj6krclryhveua" style="color: black;">Journal of the Australian Mathematical Society</a> </i> &nbsp;
We also prove a number of related results for generalized quadrangles associated with 2-dimensional Laguerre planes. 1991 Mathematics subject classification (Amer. Math. Soc): 51B15, 51H15.  ...  We investigate abstract counterparts of such sets of circles and partitions in arbitrary 2-dimensional Laguerre planes.  ...  Both O and U are block sets of so-called cylinder semi-biplanes (cf. [Po] ).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s1446788700000586">doi:10.1017/s1446788700000586</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/a6m2bofsybep5am7zg2omvdtzi">fatcat:a6m2bofsybep5am7zg2omvdtzi</a> </span>
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