Báo cáo toán học: "Constructions for cubic graphs with large girth" pdf
Báo cáo toán học: " Inequalities for convex and s-convex functions on Delta=[a,b]x[c,d]" potx
... Fully formattedPDF and full text (HTML) versions will be made available soon. Inequalities for convex and s -convex functions on Delta=[a,b]x[c,d]Journal of Inequalities and Applications 2012, ... dierentiable mapping on = [a, b] ì [c, d] . If∂2f∂t∂sq, q > 1, is a convex function on the co-ordinates on ∆, INEQUALITIES FOR CONVEX AND s -CONVEX FUNCTIONS ON ∆ = [a, b] ì ... type inequalities for co-ordinatedm -convex and (α, m) -convex functions. Hacettepe J. Math. Ist. 40, 219–229 (2011)[15] Alomari, M, Darus, M: Hadamard-type inequalities for s -convex functions. ...
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Báo cáo toán học: " System for fast lexical and phonetic spoken term detection in a Czech cultural heritage archive" docx
... 2011:10http://asmp.eurasipjournals.com/content/2011/1/10Page 11 of 11 RESEARCH Open Access System for fast lexical and phonetic spoken term detection in a Czech cultural heritage archiveJosef Psutka, Jan ... automatically graduallyadapted to each individual speaker. This unsupervisediterative speaker adaptation algorithm employs bothfMLLR and MAP methods (see [22] for details) and uses for adaptation ... xpertise in a slightly different area of the speech processing and information retrieval technology.The goal of our laboratory was originally only to pre-pare the ASR training data for several Central...
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Báo cáo toán học: " Criteria for robustness of heteroclinic cycles in neural microcircuits" potx
... Discussion In this article, we have introduced a testable criterion for robustness for a given cycle of heteroclinic con-nections within constrained settings—this test involves finding the connection ... C1perturbations in X .The HC may, however, be robust to a constrained set of perturbations. We explore this in the followingsections.2.1 Conditions for robustness of heteroclinic cycles with constraintsA ... stable.9 Criteria for robustness of heteroclinic cycles in neural microcircuitsPeter Ashwin1,ăOzkan Karabacak2and Thomas Nowotny31Mathematics Research Institute, University of Exeter,Exeter...
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Báo cáo toán học: "An irreductible subnormal operator with infinite multiplicities " pdf
... class="bi x0 y0 w2 h 1" alt ="" ...
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Báo cáo toán học: "On the Generalized Convolution with a Weight - Function for Fourier, Fourier Cosine and Sine Transforms" pot
... on generalized convolu-tion, for instance: the generalized convolution for integral transforms Stieltjes,Hilbert and the cosine- sine transforms [12], the generalized convolution for H-transform ... γ(y)=sign y for the Fourier, Fourier cosine and sine transforms of functions f and g has a meaning and belongs to L(R) and the factorization property holds 436 Nguyen Xuan Thao and Nguyen Minh Khoa23. ... 20]), for the Laplacetransform (see [18, 20] and the references therein) for the Mellin transform[18] and after that the convolutions for the Hilbert transform [4, 21], the Han-kel transform...
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Báo cáo toán học: "ON RAMSEY MINIMAL GRAPHS" doc
... C.C.Rousseau and R.H.Schelp, Ramsey minimal graphs for starforests, Discrete Math. 33 (1981), 227–237.[4] S.A.Burr, P.Erd˝os, R.J.Faudree, C.C.Rousseau and R.H.Schelp, Ramsey minimal graphs for match-ings,inThe ... Threshold functions for Ramsey properties,submitted.Key words and phrases: critical graphs, Ramsey theory1991 Mathematics Subject Classifications: 05D10, 05C804 ON RAMSEY MINIMAL GRAPHSTomasz ... R.J.Faudree, C.C.Rousseau and R.H.Schelp, Ramsey minimal graphs for forests,Discrete Math. 38 (1982), 23–32.[6] S.A.Burr, P.Erd˝os, R.J.Faudree and R.H.Schelp, A class of Ramsey- finite graphs,inProc.9thS.E.Conf....
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Báo cáo toán học: "Symmetry Breaking in Graphs" pptx
... and φ cannot bedistinguishing. This contradicts our assumption that φ is an r-distinguishinglabeling. ✷We remark that this proves that the largest integer in D(S3)is3,sincethe subgroups ... the goal is to minimize the number of colors used.Consequently we define the distinguishing number of a graph G byD(G)=min{r | G has a labeling that is r-distinguishing}.The original key problem ... agraph G, denoted by D(G), is the minimum r such that G has anr-distinguishing labeling. The distinguishing number of the completegraph on t vertices is t. In contrast, we prove (i) given any...
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Báo cáo toán học: "Ramseyan Properties of Graphs by Ermelinda DeLaVina" doc
... the class of all 4-chromatic graphs. The structure of the red graph is obvious by Corollary, but we do not knowwhich graphs can occur as blue graphs and what are the properties of graphs inwhich ... on the Wall, a list of conjectures of Graffiti. Ramseyan Properties of Graphs by Ermelinda DeLaVinadelavina@math.uh.eduSiemion Fajtlowiczsiemion@math.uh.eduUniversity of Houston, Houston, ... conjectured by the first author who also proved it in somecases and established all lower bounds. Examples of critical P (r, b) graphs aredisjoint unions of b − 1 copies of of complete k-partite graphs...
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Báo cáo toán học: " Orthogonal Colorings of Graphs" ppt
... The notion of orthogonal colorings is strongly related to thenotion of orthogonal Latin squares. The orthogonal chromatic number of G, denoted byOχ(G), is the minimum possible number of colors ... 2, 3, 1, 3).The notion of k -orthogonal colorings is strongly related to the notion of orthogonal Latinsquares. Recall that two Latin squares L1,L2 of order r are orthogonal if for any orderedpair ... well-known that orthogonal Latin squares exist for everyr/∈{2, 6} (cf. [6]). A family of k -orthogonal Latin squares of order r,isasetofk Latinsquares every two of which are orthogonal. It is...
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Báo cáo toán học: "Constructions for cubic graphs with large girth" pdf
... shownthat cubic graphs with arbitrarily large girth exist (see Theorem 3.2) and so thereis a well-defined integer à0(g), the smallest number of vertices for which a cubic graph with girth ... account of the problem of constructing cubic graphs with large girth. There is a well-dened integerà0(g), the smallest number ofvertices for which a cubic graph with girth at leastg exists, and ... its Applications, 1972, pp. 1–17.6. N. L. Biggs, Graphs with large girth. Ars Combinatorica 25C (1987) 73–80.7. N. L. Biggs, Cubic graphs with large girth. (In: Combinatorial Mathematics:Proceedings...
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Báo cáo toán học: "Bounds for DNA codes with constant GC-content" pdf
... 8 Constant- weight codes correspond to the partition {0, ,q− 1} = {0}∪{1, ,q− 1},and constant- composition codes to the partition {0, ,q− 1} = {0}∪···∪{q − 1}.Ourbounds for DNA codes with constant ... codewords with exactly w occurrences oftwo fixed characters.In this section we give lower bounds for DNA codes that are constructed from bi-nary codes, binary constant- weight codes, and ternary constant- weight ... [20]), and a similar argument applies to constant- weight codes (see e.g. [4]). Here we give an analogue for DNA codes with constant GC-content:Theorem 8 For 0 ≤ d ≤ n and 0 ≤ w ≤ n,AGC4(n,...
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Báo cáo toán học: "Degree powers in graphs with forbidden subgraphs" docx
... ,proving (8).Inequality (9) follows easily, since, in fact, for every p>3, the function g (x)hasalocal minimum at 0. ✷5 H-free graphs In this section we are going to prove the following ... (5), we obtain that(r −1)np +1+2np +1<n.Letting n →∞, we see that p ≥ r, contradicting the assumption and completing theproof. ✷Maximizing independently each summand in (3), ... Degree powers in graphs with forbidden subgraphsB´ela Bollob´as∗†‡and Vladimir Nikiforov∗Submitted: Jan 27, 2004; Accepted:...
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Báo cáo toán hoc:"Degree powers in graphs with a forbidden even cycle" pdf
... Lemma 1 For convenience we shall assume that the set B is independent.Also, we shall call a pat h with both ends in A an A- path.Claim 6 If G contains an A- path of order p > 2, then G contains ... Nikifor ov, The spectral radius of graphs without paths and cycles of specifiedlength, to appear in Linear Algebra Appl. Preprint available at arXiv:0903.535[6] J. Verstraăete, On arithmetic progressions ... in thedetails, we shall present them separately.Proof of part (1)From Claim 6 we easily obtain the following consequence:Claim 7 If G contains an A- path of order p 2k, then G contains an...
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Báo cáo toán học: "Recognizing Graph Theoretic Properties with Polynomial Ideals" pdf
... set for HG,C with C = {(1 , 2), (2, 3), ( 3 , 4), (4, 5 ), (5, 1)}.Let G be an undirected graph with vertex set V and edge set E, and consider theauxiliary directed graph ˜G with vertices ... class of graphs with encodings that have degree o ne infeasibility certificates in-cludes all graphs containing odd wheels as subgraphs (e.g., a 4-clique) [34].Corollary 2.2. If a graph G = ... follows.the electronic journal of combinatorics 17 (2010), #R114 22 Recognizing Graph Theoretic Properties with Polynomial IdealsJes´us A. De Loera∗University of California, Davis, Davis, CA...
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Báo cáo toán học: "Integral Quartic Cayley Graphs on Abelian Groups" pdf
... = Γ12. Hence all of the connected,regular integral graphs up to seven vertices are Cayley graphs. In other words there areexactly 12 connected, integral Cayley graphs up to seven vertices.It ... Cayley graphs with 10 vertices. Lemma 2.23 There are exactly three connected, integral Cayley graphs with nine vertices.Proof. We show that the graphs Γ19, Γ21and Γ24are Cayley graphs ... Γ21.Therefore, the graphs Γ19, Γ21and Γ24are the only Cayley graphs with nine vertices. Thiscompletes the proof. Lemma 2.24 There are exactly six connected, integral Cayley graphs with eight...
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