colouring maps and planar graphs
Đề tài " Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow " potx
... are called ‘harmonic maps. ’ In this situation, the harmonic maps are precisely the rational maps and their complex conjugates (see [2, (11.5)]) In particular, being conformal maps from a surface, ... Wloc (R2 \S) as n → ∞ REPULSION AND QUANTIZATION IN ALMOST-HARMONIC MAPS 469 We refer to the map u∞ : S → S as a ‘body’ map, and the maps ω i : S → S as ‘bubble’ maps The points {x1 , , xm } ... k ≥ and sufficiently large n Almost-harmonic maps — the proof of Theorem 1.2 The goal of this section is to understand the structure of maps whose tension field is small when measured in L2 , and...
- 71
- 342
- 0
fordy, wood. (eds.) harmonic maps and integrable systems (1994)(316s)
... Contents of Fordy Wood file:///tmp/index.htm The twistor approach Twistors, nilpotent orbits and harmonic maps, P.Z Kobak, p 295 Index Index of terms used in the articles, p 323 This page is maintained...
- 316
- 583
- 0
Báo cáo hóa học: " The existence of fixed points for new nonlinear multivalued maps and their applications" potx
... [0, ) and (3.14) implies (3.15), and the conclusion of Corollary 3.3 follows from Corollary 3.2 (b) Theorems 3.1-3.4 and Corollaries 3.1 and 3.2 all generalize and improve [5, Theorem 3.4] and ... ∅ Remark 4.2 (a) Corollary 4.3 and Corollary 4.4 are indeed equivalent (b) Theorems 4.1-4.6 and Corollaries 4.1-4.4 all generalize and improve [5, Theorem 2.6] and the primitive Kannan’s fixed ... l.s.c; (w3) for any ε > 0, there exists δ > such that p(z, x) ≤ δ and p(z, y) ≤ δ imply d(x, y) ≤ ε Recently, Lin and Du introduced and studied τ-functions [5,9,18-22] A function p: X × X ® [0, ∞)...
- 13
- 501
- 0
báo cáo hóa học: " Weakly contractive multivalued maps and wdistances on complete quasi-metric spaces" pot
... continued by Hussain et al [26], Latif and Al-Mezel [27], and Marín et al [1] In particular, the authors of [27] and [1] have obtained a Rakotch-type and a Bianchini-Grandolfi-type fixed point theorems, ... < t and limr→t+ sup ϕ(r) < t for all t >0, and such that, for each x, y Î X and each u Î Tx there exists v Î Ty with q(u, v) ≤ (q(x, y)) Theorem 2.6 Let (X, d) be a complete T qpm space and ... z Î Tz and q(z, z) = Proof By hypothesis, there is a function : [0, ∞) ® [0, ∞) satisfying (0) = 0, (t) < t and limr→t+ sup ϕ(r) < t for all t >0, and such that for each x, y Î X and u Î...
- 9
- 264
- 0
Báo cáo hóa học: " Surface Modification and Planar Defects of Calcium Carbonates by Magnetic Water Treatment" pptx
... two-dimensional Fourier transform and inverse transform were used to characterize surfaces, planar defects, and preferred orientation, if any, of the phases Results The phase assemblages and microstructures ... magnetite and the predominant calcite with strong {10" and moderate {11" diffractions due 14} 20} to (hkil)-specific preferred orientation (Fig 1) Optical polarized micrographs under open and crossed ... degenerate planar bending based on previous assignments [18] The shoulder on the lowfrequency side of the 875 and 711 cm-1 band indicates a minor amount of aragonite that has characteristic doublet bands...
- 10
- 292
- 0
Báo cáo hóa học: " Research Article Fixed Points of Weakly Contractive Maps and Boundedness of Orbits" doc
... integers, v ∈ X, and let di j (x) be defined as in (∗ ) Suppose there exist nonnegative real numbers a0 ,a1 ,a2 , ,an−1 and b0 ,b1 ,b2 , Fixed Point Theory and Applications with n −1 i=0 ≤ and ∞ j =0 ... is continuous, and inf x∈X d(x, f (x)) = inf n∈N d(x1n ,x2n ) = inf n∈N 1/n = Let c5 = a7 ≥ be a real number, and let other coefficients , c j , and bk be all 0, then both (A.1) and (A.3) hold ... given (X,d) and f : X → X, since d( f (x), f (y)) ≤ 1, and c5 d( f (x), f (x)) = a7 d( f (x), f (x)) = 1, both (A.2) and (A.4) hold, too However, it is clear that f has no fixed points, and each...
- 12
- 180
- 0
Báo cáo hóa học: "DIAMETRICALLY CONTRACTIVE MAPS AND FIXED POINTS" docx
... 2 Diametrically contractive maps and fixed points references therin; we will call them shrinking We briefly recall some results and properties of maps in this class: (1) the fixed point, ... 1, 81–82 8 Diametrically contractive maps and fixed points [9] B Sims, Examples of fixed point free mappings, Handbook of Metric Fixed Point Theory (W A Kirk and B Sims, eds.), Kluwer Academic, ... diametrically contractive maps are shrinking; (2) if M is a compact set and T is shrinking, then it is diametrically contractive; (3) there are examples of shrinking maps that are not diametrically...
- 8
- 185
- 0
Báo cáo hóa học: " Cq -COMMUTING MAPS AND INVARIANT APPROXIMATIONS" pptx
... et al [9], Jungck and Sessa [12], Khan and Khan [13], O’Regan and Shahzad [15], Rhoades and Saliga [16], Sahab et al [18], Shahzad [19–21], and Singh [22] Common fixed point and approximation ... -commuting maps and invariant approximations Theorem 2.2 Let I and T be self -maps on a q-starshaped subset M of a p-normed space X Assume that cl(T(M)) ⊂ I(M), q ∈ F(I), and I is affine Suppose that T and ... Al-Thagafi and Shahzad’s [2, Theorem 2.2 ], Dotson’s [3, Theorem 1], Guseman and Peters’s [4, Theorem 2], and Hussain and Berinde’s [7, Theorem 3.6] Theorem 3.1 Let T and I be self -maps on a compact...
- 9
- 180
- 0
Báo cáo hóa học: " NOTE ON KKM MAPS AND APPLICATIONS" pdf
... KKM Theory and Applications in Nonlinear Analysis, Monographs and Textbooks in Pure and Applied Mathematics, vol 218, Marcel Dekker, New York, 1999 Y Q Chen et al [18] S S Zhang and G S Yang, ... theorem and minimax theorem Theorem 4.1 (Ky Fan’s coincidence theorem) Let X and Y be nonempty convex subsets of topological vector spaces E and F, respectively Let A,B : X → 2Y be two maps satisfying ... 1, ,l and t = 1,2, ,k By the convexities of A−1 x and B y, we have y0 ∈ Ax0 and y0 ∈ Bx0 This completes the proof Remark 4.2 The classical Ky Fan’s coincidence theorem assume that both X and Y...
- 9
- 386
- 0
tony buzan mind maps and making notes phần 5 ppt
... C: Mind maps - advanced methods and uses Overview • • • • • Models for the brain Technology and new insights into ourselves The left and right brain and mind mapping Advanced ... the same time The left-hand page should be for mapped information and the right-hand page for more linear or graphic information such as formulas, special lists, and graphs etc See fig 42 When ... colour, images, dimension, symbols, and visual rhythms etc: in other words Mind Maps Fig 40 The left and right brain 110 NOTING Fig 41 A mind map on the uses of mind maps See text page 112 III From...
- 11
- 349
- 1
tony buzan mind maps and making notes phần 4 pdf
... Chapter for yourself In these mind maps key words and images are linked to each other around a main centre (in these cases, the overall theme of a chapter), and a mental picture is built up of ... The mind maps on pages 97-100 represent a new method for noting There are four of them, and they summarise the first four chapters of the book A ... picture is built up of an entire thought structure • The theory and method for making these patterned notes is fully outlined in sections B and C of chapter 4, starting on page 86 • Use the notes for...
- 10
- 451
- 1
tony buzan mind maps and making notes phần 3 pps
... B: Mind maps for recall and creative thinking Overview • • • • Exercise Linear history of speech and print Contrast: the structure of the brain Advanced note taking and mapping techniques ... other, that these are presented in lines and that we therefore write and note in lines, such linear presentation is not necessary for understanding, and in many instances is a disadvantage The ... is coming out, a continuing and enormously complex process of sorting and selecting is taking place in your 88 NOTING A Normal line structure - sentenced-based B Standard list structure - order-of-importance-based...
- 10
- 452
- 0
tony buzan mind maps and making notes phần 2 ppt
... these words and phrases and not others had been selected Answers usually included the following: 'good image words', 'imaginative', 'descriptive', 'appropriate', 'good for remembering', and 'evocative', ... title cards of some of your stories and challenging you to remember the titles and authors You would have no idea to start with to which story your cards referred, and would have to rely solely on ... words and key creative words, and the way in which they interact after a period of time has passed A key recall word or phrase is one which funnels into itself a wide range of special images, and...
- 10
- 393
- 0
tony buzan mind maps and making notes phần 1 pps
... Key words Overview • Exercise key words; standard responses • Key words and concepts - creative and recall • Memory - a comparison between standard note and key word noting • Transition from advanced ... Key-Words from them, and to make Mind Maps of each essay In this way you will be reviewing your speed reading skills, developing your note taking and Mind Mapping skills, and establish110 ing ... concentration and memory) and then branch out in an organised fashion around that image, using Key-Words and Key Images As you continue to build up the Mind Map, your brain creates an organised and integrated...
- 11
- 429
- 0
Báo cáo toán học: "A Mathematical Bibliography of Signed and Gain Graphs and Allied Areas Compiled by Thomas Zaslavsky Manuscript prepared with Marge Pratt" pdf
... two -graphs (the set of unbalanced triangles of a signed complete graph) and on even and odd polygons and paths in graphs and digraphs Nevertheless, it was not always easy to decide what belongs I ... even-cycle and bicircular matroids; bidirected graphs; binary clutters (which are equivalent to signed binary matroids); some of the literature on two -graphs and double covering graphs • And some ... η : V → {±1}, for signed planar and toroidal graphs and subgraphs of 3-dimensional grids Analyzed structurally, in terms of perfect matchings in a modified dual graph, and algorithmically The last...
- 157
- 448
- 0
Báo cáo toán học: "Glossary of Signed and Gain Graphs and Allied Areas" docx
... Switching; Negation; Subgraphs and contractions; Subdivision and splitting Relations 26 Line Graphs 27 Covering or Derived Graphs 28 Matrices 29 Matroids 29 Topology (of signed graphs) 31 Coloring ... Gain, and Biased Graphs 12 Basic Concepts of Signed Graphs 12 Aspects of balance Clusterability Additional Basic Concepts for Gain and Biased Graphs ... is, IV and IE are incidence relations between, respectively, I and V (this is the “vertex incidence relation”) and I and E (this is the “edge incidence relation”) The members of V , E , and I...
- 41
- 407
- 0
Báo cáo toán học: "Low Rank Co-Diagonal Matrices and Ramsey Graphs" doc
... ring and let A and A be two n × n matrices Then rankR (A + A ) ≤ rankR (A) + rankR (A ) Proof: Let A = BC and A = B C , where B is an n × r and C is an r × n matrix, while B is an n × r and C ... of the columns of B and B , and C is an (r + r ) × n matrix, formed from the union of rows of C and C The following theorem shows, that for any prime p, the co-triangle (and, consequently, the ... result of Ramsey [7] and Erd˝s and Szekeres [4], every n-vertex graph has o either a clique on k, or an anti-clique on vertices, if n≥ If we set k = log n log log n k+ −2 k−1 , and = log2 n , then...
- 7
- 243
- 0
Báo cáo toán học: "A Note on Sparse Random Graphs and Cover Graphs" docx
... Bollob´s, Colouring lattices, Alg Universalis (1977), 313–314 a [3] B Bollob´s, Random Graphs, Academic Press 1985 a [4] B Bollob´s, G Brightwell and J Neˇetˇil, Random Graphs and Covering Graphs ... Solution March 1948 [6] P.Erd˝s and A.R´nyi, On the evolution of random graphs, Publ Math Inst o e Hungar Acad Sci (1960) 17-61 [7] T.Luczak, The chromatic number of random graphs, Combinatorica 11 ... was introduced by Bollob´s, a Brightwell, and Neˇetˇil [4] s r First consider dense random graphs It is shown in [4] that for arbitrary integer l ≥ and p = p(n) = o n(l−2)/(l−1) , c(Gn,p ) ≤...
- 9
- 380
- 0
Báo cáo toán học: "Circular chromatic number of planar graphs of large odd girth" docx
... have been proved for planar graphs However, even restricted to planar graphs, Jaeger’s conjecture remains largely open For planar graphs, the flow problem can be dualized to a colouring problem For ... of nearly eulerian graphs and vertex splitting, manuscript, 2000 [20] C.Q.Zhang, Integer flows and cycle covers of graphs, Marcel Dekker Inc New York, (1997) [21] X Zhu, Planar graphs with circular ... graphs, manuscript, 2000 [13] J Neˇetˇil and X Zhu, On Bounded Tree-Width Duality of Graphs, J Graph Theory, s r 23 (1996), 151-162 [14] E Steffen and X Zhu, On the star chromatic numbers of graphs, ...
- 11
- 309
- 0
Báo cáo toán học: "Map genus, forbidden maps, and monadic second-order logic" pps
... submaps and minors Forbidden submaps In this subsection we study the topological minor inclusion on maps We define for each g ≥ a finite set Fg of forbidden maps, and we use it to characterize maps ... of the considered graphs Such an informative monadic second-order expressibility has been established by Courcelle [6] for 3-connected planar graphs and for ordered planar graphs We consider ... to the given graph and yields the desired “informative” characterization by a monadic second-order formula 1.1 Preliminaries Graphs and maps All graphs will be undirected and finite They may have...
- 27
- 170
- 0
Tìm thêm: hệ việt nam nhật bản và sức hấp dẫn của tiếng nhật tại việt nam xác định các mục tiêu của chương trình xác định các nguyên tắc biên soạn khảo sát các chuẩn giảng dạy tiếng nhật từ góc độ lí thuyết và thực tiễn khảo sát chương trình đào tạo của các đơn vị đào tạo tại nhật bản khảo sát chương trình đào tạo gắn với các giáo trình cụ thể tiến hành xây dựng chương trình đào tạo dành cho đối tượng không chuyên ngữ tại việt nam điều tra đối với đối tượng giảng viên và đối tượng quản lí điều tra với đối tượng sinh viên học tiếng nhật không chuyên ngữ1 khảo sát thực tế giảng dạy tiếng nhật không chuyên ngữ tại việt nam nội dung cụ thể cho từng kĩ năng ở từng cấp độ xác định mức độ đáp ứng về văn hoá và chuyên môn trong ct mở máy động cơ lồng sóc mở máy động cơ rôto dây quấn đặc tuyến hiệu suất h fi p2 đặc tuyến tốc độ rôto n fi p2 động cơ điện không đồng bộ một pha phần 3 giới thiệu nguyên liệu chỉ tiêu chất lượng theo chất lượng phẩm chất sản phẩm khô từ gạo của bộ y tế năm 2008 chỉ tiêu chất lượng 9 tr 25