Báo cáo toán học: "The number of 0-1-2 increasing trees as two different evaluations of the Tutte polynomial of a complete graph" potx
Báo cáo toán học: " Infinite-Dimensional Ito Processes with Respect to Gaussian Random Measures and the Ito Formula" potx
... D. H. Thang, On Ito stochastic integral with respect to vector stable random measures, Acta Math. Vietnam. 21 (1996) 171–181.12. D. H. Thang, Vector random stable measures and random integrals, ... fordefining the Y -valued Ito process and establishing the Ito formula, in Secs. 3 and 4 we construct the Ito integral of L(X, Y )-valued adapted random func-tions w.r.t. an X-valued symmetric Gaussian ... similar to the proof of Lemma 3.2 and the Ito s methodin [6] we can define the random integralfdZ for random functions f ∈M.Theorem 3.4. Let X, Y be Banach spaces of type 2. Then there exists...
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Báo cáo toán học: " Coverings, heat kernels and spanning trees" ppt
... a graph G and a covering˜G of G and we study the relations oftheir eigenvalues and heat kernels. We evaluate the heat kernel for an infinitek-regular tree and we examine the heat kernels for ... Coverings, heat kernels and spanning treesFan Chung†∗University of PennsylvaniaPhiladelphia, Pennsylvania ... path Pwith vertices v0, ,vpwhere p = D(G). Suppose G and P have heat kernels ˜ht and ht, respectively. For any two vertices x and y in G with distance d(x, y)=r, we have˜ht(x, y)=|π−1(ur)|ht(v0,vr)....
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Báo cáo toán học: "Separability Number and Schurity Number of Coherent Configurations" ppt
... the separability number and the Schurity number of Wrespectively. The separability number s(C) and the Schurity number t(C) of a scheme C aredefined as the corresponding numbers of its Bose-Mesner ... m-equivalence of permutation groups (see [24]). In Section 4 we introduce the separability and Schurity numbers of cellular algebras and schemes and study general properties of them.Sections 5 and 7 ... (Theorem 4.8). All of these resultsareusedinSections 5and7 .Let us turn to schemes. We define the separability number and the Schurity number of a scheme as the corresponding numbers of its Bose-Mesner...
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Báo cáo toán học: "Forestation in hypergraphs: linear k-trees" pot
... journal of combinatorics 10 (2003), #N12 3 Thus we may also think of linear k-trees as maximal linear k-forests or minimallyk-connected hypergraphs.3 All trees are not created equalA linear k-tree ... solvable minimum spanning treeproblem. Replacing ‘k-hypertree’ with linear k-tree’ in the above definition drasticallyreduces the complexity of the problem. By Theorems 2.4 and 2.3 the linear k-forests ... with respect to a distinguished element n ∈ X.Lemma 2.2. A hypergraph is a linear k-forest or k-connected independently of the choiceof distinguished element used in definingn−1k−1.Proof....
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Báo cáo toán học: "The number of 0-1-2 increasing trees as two different evaluations of the Tutte polynomial of a complete graph" potx
... The number of 0-1-2 increasing trees as two different evaluations of the Tutte polynomial of a complete graphC. Merino∗Instituto de Matem´aticas,Universidad Nacional Aut´onoma de M´exico,Circuito ... present an algebraic proof of a resultwith the same flavour as the latter: Tn+2(1, −1) = Tn(2, −1), where Tn(1, −1) has the combinatorial interpretation of being the number of 0–1–2 increasing ... components in the graph(V, A) . The 2-variable graph polynomial T (G; x, y), known as the Tutte polynomial of G,is defined as T (G; x, y) = A E(x − 1)r(E)−r (A) (y − 1) |A| −r (A) . (1) The Tutte polynomial...
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Báo cáo toán học: "Repetition number of graphs" pot
... set of q edges with weight at least s in a graph G. If the totalweight of edges in Q is at most cq, then rep(L(G)) ≥ maxk>s2(k−c)(k−s)(k−s+1)q.Proof. Let Xibe the number of edges of ... define the repetition number of a graph G, written rep(G), to be the maximum multiplicity in the list of vertex degrees.We study the minimum of rep(G) on various classes of n-vertex graphs. The ... path of three edges to triangulate each hexagonal tile,contributing to the degrees of the vertices in the two central rows of vertices in the strip of hexagons. When the central edges of the...
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Báo cáo toán học: "Independence number of 2-factor-plus-triangles graphs" pot
... “intersectiongraph” of the components in G1and G2). By construction, H is bipartite. The degree of a vertex in H is the number of vertices in the corresponding component of G1or G2.Each edge of H corresponds ... {a ∈ A: a /∈ B}.2 Independence ratio at least 1/4The independence number of a graph is the sum of the independence numbers of itscomponents. Therefore, to characterize the graphs in G with ... triangles on sets of the form {x1, x2, x3}.An independent set is a set of pairwise nonadjacent vertices. The independence number α(G) of a graph G is the maximum size of such a set in G.Proposition...
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Báo cáo toán học: "Chromatic number for a generalization of Cartesian product graphs" pot
... such a graph G with no independent set of size at leastNdkd−0.5.the electronic journal of combinatorics 16 (2009), #R71 5 Chromatic number for a generalization of Cartesian product graphsDaniel ... of graphs. A d-fold grid over G is a graph obtained from a d-dimensional rectangular grid of vertices by placing a graph from G on each of thelines parallel to one of the axes. Thus each vertex ... assymptotically the function f(G; d) for the class G of k-colorable graphsand the class M of matchings. For the class S of graphs with at most one edge, we werenot able to obtain matching lower and...
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Báo cáo toán học: "Distinguishing Number of Countable Homogeneous Relational Structures" pptx
... distinguishing number two.the electronic journal of combinatorics 17 (2010), #R20 6 Distinguishing Number of Countable Homogeneous Relational StructuresC. Laflamme∗University of CalgaryDepartment of ... skeleton of a structure A is the set of finite induced substructures of A and theage of A consists of all relational structures isomorphic to an element of the skeleton of the electronic journal of ... distinguishing number 2.We compute the distinguishing number of various other fi nite and countable homogeneous structures, including undirected and directed graphs, and posets. Weshow that this number...
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Báo cáo toán học: " Independence number and disjoint theta graphs" doc
... Chvatalova and J. Opatrn ´y. The bandwidth of theta graphs. Utilitas Math.,33:9–22, 1988.[12] Y. Egawa, H. Enomoto, S. Jendrol, K. Ota , and I. Schiermeyer. Independence number and vertex -disjoint ... Tifor some i. Let u and v be the hubvertices of T and let Q1, Q2 and Q3be the paths of T ea ch containing u and v.Suppose u and v are each incident to at least one edge of E and, without loss ... contains no k disjoint cycles.Similarly, let g′(k, α) be the maximum integer n such that t here exists a graph G on nvertices with independence number α(G) ≤ α and G conta ins no k disjoint even...
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Báo cáo khoa học: "Renal carcinoma infiltrating inferior vena cava and combined valvular heart disease - one-stage uro-cardiological procedure: a case report" potx
... CASE REPO R T Open AccessRenal carcinoma infiltrating inferior vena cava and combined valvular heart disease - one-stage uro-cardiological procedure: a case reportArtur A Antoniewicz1, ... separate operations.We report a case of 55-year-old man with combined valvular heart disease and renal carcinoma infiltrating inferior caval vein, who underwent one-stage cardio-urologic procedure. ... grafting and abdominalaneurysm repair decreases stay and costs. Ann Thorac Surg 1998,66:127 3-1 276.5. Matsuzaki K, Sakai K, Sugawara H, Okamato F, Matano J, Nakanishi K,Narita Y: A case of ascending...
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báo cáo khoa học: "Infrared imaging and spectral-domain optical coherence tomography findings correlate with microperimetry in acute macular neuroretinopathy: a case report" potx
... kakarla.chalam@jax.ufl.edu Abstract Introduction: Spectral-domain optical coherence tomography findings in a patient with acute macular neuroretinopathy, and correlation with functional defects on microperimetry, ... upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Infrared imaging and spectral-domain optical coherence tomography findings correlate with microperimetry ... Newman NJ: Coffee and doughnut maculopathy: a cause of acute central ring scotomas. Br J Ophthalmol 2000, 84(2):158-164. Infrared imaging and spectral-domain optical coherence tomography findings...
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báo cáo khoa học: " Hypercalcemia and huge splenomegaly presenting in an elderly patient with B-cell non-Hodgkin’s lymphoma: a case report" potx
... contributionsAG analyzed and interpreted data regarding our patient s endocrine disease and hypercalcemia. HA analyzed and interpreted data regarding herhematologic disease and performed her chemotherapy. ... 4:330http://www.jmedicalcasereports.com/content/4/1/330Page 4 of 4 CASE REPO R T Open Access Hypercalcemia and huge splenomegaly presenting in an elderly patient with B-cell non-Hodgkin’s lymphoma: a case reportAli AM Ghazi1, Hamid Attarian2, ... glands and renal a- hydroxylase secondary to hypercalcemia. It is also evident that hypercalcemia is a manifest ationof advanced disease and, as with other cases of humoral hypercalcemia of malignancy...
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Báo cáo y học: "Lung contusion and cavitation with exudative plural effusion following extracorporeal shock wave lithotripsy in an adult: a case report" potx
... presentation: We describe the case of a 31-year-old Asian man with an unusual case of hemoptysis and lung contusion and cavitation with exudative plural effusion due to pulmonary trauma following false ... CAS E REP O R T Open AccessLung contusion and cavitation with exudative plural effusion following extracorporeal shock wave lithotripsy in an adult: a case reportNader Nouri-Majalan1*, ... Roghayyeh Masoumi1, Abolhasan Halvani2, Sara Moghaddasi1AbstractIntroduction: Among the complications of extracorporeal shock wave lithotripsy are perinephric bleeding and hypertension.Case...
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Báo cáo y học: "Single ventricle with persistent truncus arteriosus as two rare entities in an adult patient: a case report" doc
... he was asymptomatic at rest. At 27 years of age, thepatient reported an increase in dyspnea with minimalexertion. He was diagnosed with thrombosis of the Bla-lock-Taussig anastomosis and was ... failure, and sudden cardiac death. Truncus arteriosus is another rare anomaly, defined as a single great artery that originates from the base of theheart and gives rise to the pulmonary, systemic, and ... such as pulmonaryartery stenosis or persistently elevated pulmonary vascularresistance, may delay the appearance of symptoms. Thediagnosis is established by echocardiography and cardiaccatheterization....
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