2,929 research outputs found
EDGE ORDERED TURAN PROBLEMS
No full textWe introduce the Turan problem for edge ordered graphs. We call a simple graph edge ordered, if its edges are linearly ordered. An isomorphism between edge ordered graphs must respect the edge order. A subgraph of an edge ordered graph is itself an edge ordered graph with the induced edge order. We say that an edge ordered graph G avoids another edge ordered graph H, if no subgraph of G is isomorphic to H. The Turan number ex(<)'(n, H) of a family H of edge ordered graphs is the maximum number of edges in an edge ordered graph on n vertices that avoids all elements of H.We examine this parameter in general and also for several singleton families of edge orders of certain small specific graphs, like star forests, short paths and the cycle of length four.DC
Rainbow Turan Methods for Trees
No full textThe rainbow Turan number, a natural extension of the well-studied traditionalTuran number, was introduced in 2007 by Keevash, Mubayi, Sudakov and Verstraete. The rainbow Tur ́an number of a graph F , ex*(n, F ), is the largest number of edges for an n vertex graph G that can be properly edge colored with no rainbow F subgraph. Chapter 1 of this dissertation gives relevant definitions and a brief history of extremal graph theory. Chapter 2 defines k-unique colorings and the related k-unique Turan number and provides preliminary results on this new variant. In Chapter 3, we explore the reduction method for finding upper bounds on rainbow Turan numbers and use this to inform results for the rainbow Turan numbers of specific families of trees. These results are used in Chapter 4 to prove that the rainbow Turan numbers of all trees are linear in n, which correlates to a well-known property of the traditional Turan numbers of trees. We discuss improvements to the constant term in Chapters 4 and 5, and conclude with a discussion on avenues for future work
A Comparison of Islamic Vs Conventional Banks in Turkey
No full text##nofulltext##Semen Son Turan (MEF Author)..
Squalius kottelati Turan, Yilmaz & Kaya 2009
No full textSqualius kottelati: FFR 1567, 13, 130-203 mm SL; Turkey: Kahramanmaraş Prov.: Ceyhan River; Menzelet Reservoir; Geçit Stream on road from Kahramanmara to Andırın; D. Turan, Z. Bostancı & G. Kırankaya, vi.2005. – FRR 769, 5, 197–218 mm SL; Turkey: Adana Prov.: Seyhan Reservoir; D. Turan & Z. Bostancı, 20.vi.2005.Published as part of Davut Tura, Maurice Kottelat & Esra Bayçelebi, 2017, Squalius semae, a new species of chub from the Euphrates River, Eastern Anatolia (Teleostei: Cyprinidae), pp. 33-42 in Zoology in the Middle East 63 (1) on page 34, DOI: 10.1080/09397140.2017.1290761, http://zenodo.org/record/88668
Generalized Turan densities in the hypercube
No full textA classical extremal, or Turan-type problem asks to determine ex(G, H), the largest number of edges in a subgraph of a graph G which does not contain a subgraph isomorphic to H. Alon and Shikhelman introduced the so-called generalized extremal number ex(G, T, H), defined to be the maximum number of subgraphs isomorphic to T in a subgraph of G that contains no subgraphs isomorphic to H. In this paper we investigate the case when G = Qn, the hypercube of dimension n, and T and H are smaller hypercubes or cycles. (c) 2022 Elsevier B.V. All rights reserved
Turan and Ramsey numbers in linear triple systems II
No full textIn this paper we continue our studies of Turan and Ramsey numbers in linear triple systems, defined as 3-uniform hypergraphs in which any two triples intersect in at most one vertex. In [7] the two main problems left open were the Turan number of the wicket and the Ramsey property of the sail. In this paper we present some progress towards both of these problems.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Effects of some chemical and mechanical applications on branching in production of apple nursery trees
No full textBu ara t rma; 2009 y l nda, Isparta-E irdir ekolojik artlar nda, M9 elma klon anac üzerine a l Jersey Mac, Summer Red, Galaxy Gala, Granny Smith, Fuji ve Braeburn elma çe itlerine ait fidanlarda baz kimyasal [6-Benzyladenine (6-BA), Promalin (6-BAGA47)] ve mekanik uygulamalar n dallanma üzerine etkileri ara t r lm t r. Çal mada yap lan fidan boyu de erlendirmelerinde, en uzun boylu fidanlar Braeburn çe idi fidanlar nda, 450 ppm Promalin uygulamas ndan (142.37 cm) elde edilmi tir. Yan dal olu turan fidanlar n de erlendirildi inde, 550 ppm 6-BA uygulamas yla Braeburn çe idinde (7.30 adet/fidan) ve 550 ppm 6-BA uygulamas yla yine Braeburn çe idinde (6.83 adet/fidan) en fazla dall fidanlar elde edilmi tir. Dal aç s de erlendirmelerinde, Summer Red çe idinde (60.110) Kontrol grubunda, Dal s y rma uygulamas nda, Summer Red (59.080) çe idinden ve 550 ppm Promalin uygulamas nda, Granny Smith çe idindeki (57.790) fidanlarda en geni aç l dal elde edilmi tir. TSE bodur meyve standartlar na göre yap lan de erlendirmelerde, kontrol uygulamas na b rak lan fidanlar (% 100), 450 ile 550 ppm Promalin uygulamas yap lan fidanlar (% 99), dal s y rma uygulamas (% 98) ve Uç alma 3 uygulamas (% 97) yap lan fidanlar 1. kalite fidan s n f na girmi tir. Ara t rmada, çe itler aras nda en kaliteli fidanlar s ras yla Jersey Mac (% 99), Braeburn (% 98), Galaxy Gala (% 97) ve Granny Smith (% 96) çe itlerinden elde edilmi tir.In this study, the effects of some chemical [6-Benzyladenine (6-BA), Promalin (6-BAGA47)J and echanical applications on the Jersey Mac, Summer Red, Galaxy Gala, Granny Smith, Fuji and Braeburn grafted on the M9 apple rootstock have been studied under echological conditions of Isparta-E irdir in 2009. On the interpretations on nursery tree carried out in this work, the longest fidanlar have been found from Braeburn types on the application of 450 ppm Promalin to be 142.37 cm. When plants producing side arms are studied, the plants mostly producing side arms have been obtained from Braeburn types with 550 ppm 6-BA (7.30 item/nursery tree and Braeburn types again with 550 ppm 6-BA (7.30 item/ nursery tree. On the study of the angle of arm, the arms with the largest angle have been obtained on the Summer Red type (60.11°) in the control group, on the application of branch stripping, on the Summer Red (59.08°) type and Granny Smith type (57.79°) 550 ppm with Promalin application. The interpretations made according to TSE standards of bodur fruits, the nursery tree (% 100) left control applications, the nursery tree (% 99) subjected to 450-55 ppm Prolmalin, the nursery tree subjected to stripping application (% 98) and cutting the tip of seedling 3 application have been classifies as the first class nursery tree. In the study, the most quality nursery tree have been obtained from Jersey Mac (% 99), Braeburn (% 98), Galaxy Gala (% 97) and Granny Smith (% 96)
Some Exact Ramsey-Turan Numbers
No full textLet r be an integer, f(n) be a function, and H be a graph. Introduced by Erdos, Hajnal, Sos, and Szemeredi, the r-Ramsey-Turan number of H, RTr(n, H, f(n)), is defined to be the maximum number of edges in an n-vertex, H-free graph G with alpha(r)(G) <= f(n), where alpha(r)(G) denotes the K-r-independence number of G.
In this note, using isoperimetric properties of the high-dimensional unit sphere, we construct graphs providing lower bounds for RTr(n, Kr+s, o(n)) for every 2 <= s <= r. These constructions are sharp for an infinite family of pairs of r and s. The only previous sharp construction (for such values of r and s) was by Bollobas and Erdos for r=s=2
Squalius kottelati Turan, Yilmaz & Kaya, 2009, new species
No full textSqualius kottelati, new species (Fig. 1) Leuciscus lepidus Heckel, 1843: Gruvel, 1931: 294 (Orontes River) Leuciscus lepidus Heckel, 1843: Kosswig & Battalgil, 1943: 22 (Orontes River) Leuciscus lepidus Heckel, 1843: Ladiges, 1960: 122 (Orontes River) Leuciscus lepidus Heckel, 1843: Yalçın, 1997: 4 (Orontes River) Leuciscus lepidus Heckel, 1843: Bogutskaya, 1997: 173 (Orontes River) Holotype: FFR 1991, 126 mm SL, Turkey: Gaziantep Prov.: Orontes River drainage, Tahtaköprü Reservoir; D. Turan & S. Engin, 15 July 2007. Paratypes: FFR 1567, 13, 130 – 203 mm SL; same data as holotype. FRR 768, 5, 93–153 mm SL; Turkey: Kahramanmaraş Prov.: Ceyhan River; Menzelet Reservoir; Geçit Stream on road from Kahramanmaraş to Andırın; D. Turan, Z. Bostancı & Ş. G. Kırankaya, June 2005. - FRR 769, 5, 197 – 218 mm SL; Turkey, Adana Prov.: Seyhan Reservoir; D. Turan & Z. Bostancı, 20 June 2005. Diagnosis. Squalius kottelati is a member of the S. lepidus group, diagnosed by an elongate and pointed head with projecting lower jaw and the posteriorly expanded lateral portions of the parietals (Bogutskaya 1994). Squalius kottelati is distinguished from the other species of the genus Squalius in Turkey and adjacent basins by having a conspicuous broad, dark stripe on the upper part of the flank from the head to the end of the caudal peduncle (vs. absent or very faintly marked, except in S. lepidus). It differs from S. lepidus by having a longer head (28.3–30.9, vs. 25.3–27.3 % SL), fewer scales in lateral line (total 45–47, vs. 48–49) and fewer gill rakers on the outer side of first gill arch (9–10, vs. 11–13). It also differs from S. anatolicus by having more scales in lateral line (45–47, mode 46, vs. 43–45, mode 44); a longer caudal fin (length of upper lobe: 20.3–22.5, vs. 15.8 –19.0 % SL). Other characters useful for identification are: snout pointed in males, slightly rounded in females; anal fin with 8–9 ½ branched rays, its outer margin straight or slightly convex, with light-brown pigments on rays. Description. General appearance is shown in Figure 1; morphometric and meristic data are given in Tables 1 and 2. Body slender, slightly compressed laterally, depth at dorsal-fin origin 20.7–25.1 % SL. Dorsal profile slightly convex, with a hump at nape; dorsal profile more convex than ventral profile. Head long, slender, its length 1.2–1.4 times body depth; dorsal profile straight on interorbital area, concave on snout. Snout short, its length 26.8–29.8 % HL, slender, narrower, tip slightly pointed. Mouth slightly superior, long, narrow, angle of gape reaching vertical through anterior margin of eye. Lower jaw markedly longer than upper jaw, especially in specimens larger than 180 mm SL. Eyes large, diameter 15.8–19.5 % HL. Interorbital area narrow, its width 27.9–31.9 % HL. Maximum known size 203 mm SL. Dorsal fin with 3 simple and 8 ½ branched rays, approximately equal to pectoral-fin length, distal margin straight, origin markedly behind vertical through pelvic-fin origin. Pectoral-fin distal margin straight, with 16–17 branched rays. Pelvic-fin distal margin straight, with 1 simple and 8 branched rays. Anal fin with 3 simple and 8–9 ½ branched rays; distal margin straight or slightly convex. Caudal fin long, length of upper lobe 20.3–22.5 % SL, markedly forked, lobe tips pointed. Lateral line with 45 (3), 46 (8) or 47 (3) scales; 7 (9) or 8 (5) scales rows between lateral line and dorsal-fin origin; 3 (4) or 4 (10) scales between lateral line and anal-fin origin. Gill rakers 3 + 6–7 = 9–10 on outer side of first gill arch. Vertebrae 23 + 19 = 42 (6) or 24 + 19 = 43 (8). Pharyngeal teeth 5.2 – 2.5, markedly hooked, serrated. The snout of males is more pointed than that of females. Coloration. Formalin-preserved adults and juveniles dorsally dark grey, grayish on flank, whitish on belly; a conspicuous broad, dark stripe on upper part of flank from head to end of caudal peduncle. Caudal fin dark grey. Dorsal, pectoral, pelvic and anal fins yellowish. Light-brown pigments on dorsal and anal-fin rays. Scales with a dark spot on scale pocket, especially in specimens larger than 180 mm SL; faintly marked to distinct dark edge along posterior margin; usually with one or two rows of large black pigments on posterior margin of scales of flank and dorsum. Etymology. The species is named for Maurice Kottelat, fish taxonomist, in appreciation for his contributions to knowledge of the fish faunas of Europe and Asia. Distribution. Squalius kottelati is presently known only from Tahtalıköprü reservoir in the drainage of Orontes River, drainages of Ceyhan and Seyhan rivers (Fig. 2). Capoeta barroisi has been collected together with S. kottelati. Lateral-line scales Species N 43 44 45 46 47 48 49 mean S. lepidus 10 - - - - - 6 4 48.4 S. anatolicus 14 4 6 4 - - - - 44.0 S. kottelati 14 - - 3 8 3 - - 46.0 Transverse-line scales Above lateral line Below lateral line N 7 8 9 10 11 Mean 3 4 5 6 mean S. lepidus 10 - 10 - - - 10.0 2 8 - - 3.8 S. anatolicus 14 5 9 - - - 7.6 8 6 - - 3.5 S. kottelati 14 9 5 - - - 7.4 4 10 - - 3.7 Branched dorsal-fin rays Pectoral-fin rays Branched anal-fin rays N 7 8 9 mean 16 17 mean 8 9 10 mean S. lepidus 10 - 1 - 8 2 8 16.8 - 6 4 9.4 S. anatolicus 14 2 9 3 8.1 9 5 16.4 2 10 2 9.0 S. kottelati 14 - 14 - 14 8 6 16.4 6 8 - 8.6 Gill rakers N 8 9 10 11 12 13 mean S. lepidus 10 - - - 6 2 2 11.6 S. anatolicus 14 3 7 4 - - - 9.1 S. kottelati 14 - 4 10 - - - 9.7Published as part of Turan, Davut, Yilmaz, Togay & Kaya, Cüneyt, 2009, Squalius kottelati, a new cyprinid species (Teleostei: Cyprinidae) from Orontes River, Turkey, pp. 53-62 in Zootaxa 2270 on pages 54-58, DOI: 10.5281/zenodo.19094
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