Báo cáo toán học: " On the chromatic number of intersection graphs of convex sets in the plane" ppt
Tài liệu Báo cáo khoa học: "An ISU Dialogue System Exhibiting Reinforcement Learning of Dialogue Policies: Generic Slot-filling in the TALK In-car System" pot
... actionsand in- car dialo gue actions, for each sub-task type of the in- car system. 121 An ISU Dialogue System Exhibiting Reinforcement Learning of Dialogue Policies: Generic Slot-filling in the TALK In- car ... describe the domain in which the di-alogue system operates (an in- car” information sys-tem). Then we describe the major components of the system and give examples of their use. We then discuss the ... tions of both systems, in o rder to construct an interface be-tween the learnt policies for COMMUNICATO R and the in- car baseline system. 5.2 Mapping between COMMUNICATOR and the In- car DomainsThere...
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Báo cáo hóa học: " Gait stability and variability measures show effects of impaired cognition and dual tasking in frail people" pptx
... patterns asindicators of dynamic balance ability during walking. The aim of the study was to quantify the effect of impaired cognition and dual tasking on gait variability and stability in geriatric ... task.For walking without dual tasking, no significant groupdifferences were found for any of the gait or trunkTable 2 Effect of dual tasking on gait variablesVariables Walking Dual Tasking z-valuepspeed ... 0.013Values during walking and dual tasking for: walking speed, stride frequency,mean and coefficient of variation (CV) of stride times, the phase variability index (PVI) and stride-t o-stride variability...
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Báo cáo toán học: " ON THE NUMBER OF DESCENDANTS AND ASCENDANTS IN RANDOM SEARCH TREES" ppsx
... +1)649n6.7. The number of ascendants of a given node in a LBSTAs in the case of the number of ascendants in a random BST, computing the probability that the jthnode in a random LBST has m ascendants ... other random variables: the number of descendants Dn and the number of ascendants An of a randomly chosen internal node in a random search tree of size n. This corresponds to averagingDn,j and ... mentioned in the introduction, the standard model for random LBSTs statesthat a random LBST of size n is the result of n random insertions into an initially empty tree.Equivalently, a random...
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Báo cáo toán học: "On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern" ppt
... a given patternRichard ArratiaDepartment of MathematicsUniversity of Southern CaliforniaLos Angeles, CA 90089-1113email: rarratia@math.usc.eduSubmitted: July 27, 1999; Accepted: August 25, ... 1999.Abstract. Consider, for a permutation σ ∈Sk,thenumberF(n, σ) of permuta-tions in Snwhich avoid σ as a subpattern. The conjecture of Stanley and Wilf isthat for every σ there is a constant ... 2. There exists an n-permutation, with n = k2, containing every k-permutationas a subpattern; i.e. m(k) ≤ k2. On the Stanley-Wilf conjecture for the number of permutations avoiding a given patternRichard...
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Báo cáo toán học: "On the number of perfect matchings and Hamilton cycles in -regular non-bipartite graphs" ppsx
... n)k−1φ(k). In either case, the inequality in part 1 of the lemma holds. On the number of perfect matchings and Hamilton cycles in -regular non-bipartite graphsAlan Frieze∗Department of Mathematical ... of combinatorics 7 (2000), #R57 43 Hamilton Cycles A Hamilton cycle is the union of two perfect matchings and so h(G) ≤12m(G)2 and the upper bound in part (b) of Theorem 1 follows from the ... segment containing x, the segment containing x, and the remaining segment.Going round the cycle Ci, starting at x and ending at x, the vertices x, x,y,y,z,zmay appear in one of eight...
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Báo cáo toán học: "On the Oriented Game Chromatic Number" potx
... path or an oriented cycle, then ogcn(G) ≤ 7.In fact, this bound is tight, as shown by the following:Theorem 7 There exist oriented paths with oriented game chromatic number 7.Proof. The idea ... families of oriented graphs having bounded oriented game chromatic number. In the next section, we introduce two types of “Go-like” games (by analogy to the Go board -game) and show how these games ... bounded (oriented or not) game chromatic number.Using that, we prove in Section 3 that the families of oriented paths, oriented cyclesor oriented trees have bounded oriented game chromatic...
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Báo cáo toán học: " On the chromatic number of intersection graphs of convex sets in the plane" ppt
... 2z belongs to B∗. the electr onic journal of combinatorics 11 (2004), #R52 5 On the chromatic number of intersection graphs of convex sets in the plane∗Seog-Jin KimDepartment of MathematicsUniversity ... −M(C)4 Intersection graphs of convex sets with differentsizes In this section, we study a more general case. Two convex sets K, D on the plane arecalled homothetic if K = x + λD for a point x on the ... general setting: shrinking and blowing of the figures are nowallowed.Theorem 3 Let H be the intersection graph of a family F of homothetic copies of a fixed convex compact set D in the plane....
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Báo cáo toán học: "Constructive Upper Bounds for Cycle-Saturated Graphs of Minimum Size" doc
... number of vertices from the hub.the electronic journal of combinatorics 13 (2006), #R29 4 Constructive Upper Bounds for Cycle-Saturated Graphs of Minimum SizeRonald GouldDepartment of Mathematics ... showed for l ≥ 5thatsat(n, Cl) ≥ n1+12l+8.We will provide an upper bound for the function sat(n, Cl) that improves the upper bound given in [1] for most values of l. We improve the upper ... value of this function for a given graph F has been quite difficult, and is known for relatively few graphs. K´aszonyi and Tuza in [12] proved the best known general upper bound for sat(n, F).Cycle-saturated...
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Báo cáo toán học: "A combinatorial representation with Schr¨der paths of o biorthogonality of Laurent biorthogonal polynomials" pps
... for example.the electronic journal of combinatorics 14 (2007), #R37 9 A combinatorial representation with Schrăoder paths of biorthogonality of Laurent biorthogonal polynomialsShuhei Kamioka∗Department ... certain kinds of Schrăoder paths, whichimply orthogonality and biorthogonality of LBPs.1 Introduction and preliminaries Laurent biorthogonal polynomials, or LBPs for short, appeared in problems related ... journal of combinatorics 14 (2007), #R37 13 This combinatorial approach to orthogonal functions is due to Viennot [10]. He gaveto general (classical) orthogonal polynomials, following Flajolet’s...
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Báo cáo toán học: "On the chromatic number of simple triangle-free triple systems" pps
... chromatic number, althoughwe phrase it only for chromatic number. In the next section we present the lower bound in Theorem 2 and the rest of the pa-per is devoted to the proof of the upper bound. The ... coloring of a k-graph is a coloring of its vertices such that no edge ismonochromatic, and the chromatic number is the minimum number of colors in a propercoloring. An easy consequence of the Local ... condition of simplicity is the same assaying that the 3-graph is F -free, where F is the 3-graph of two edges sharing two vertices. The proof of the lower bound in Theorem 2 is fairly standard. The...
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Báo cáo toán học: "Evaluating a Weighted Graph Polynomial for Graphs of Bounded Tree-Width" potx
... polynomial. The attraction of U is that it contains many other graph invariants as specialisations, for instance the 2 -polymatroid rank generating function of O xley and Whittle [23], and as a consequence ... that there are polynomial time alg orithms to evaluate a wide range of graph polynomials that are definable in monadic second order logic when the input graph has bounded tree-width. Examples include ... 2009Mathematics S ubject Classification: 05C85, 05C15, 68R10AbstractWe show that for any k there is a polynomial time algorithm to evaluate the weighted graph p olynomial U of any graph with...
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Báo cáo toán hoc:" An Elementary Chromatic Reduction for Gain Graphs and Special Hyperplane" pps
... balanced, and we define the chromatic and zero-free chromatic polynomials by means of (5.3) and (5.4).Proposition 5.4. The total chromatic polynomial is a weak chromatic invariant of gain graphs. ... Cat alan, Shi, and Linial graphs satisfy the hypotheses of Corollary 10.4 and the graphs between Catalan and Shi are co mplete, it is a routine matter to evaluate their chromatic and total chromatic ... z),where again T := S\e. This proves (4.1).By Proposition 5.2, therefore, ˜χΦis a chromatic invariant of gain graphs. 6 Integral gain graphs and integral affinographic hy-perplanes An integral gain...
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Báo cáo toán học: "On multicolor Ramsey number of paths versus cycles" pdf
... a corollary of more generalresults about the asymptotic results of the Ra msey number for three long even cycles.Recently, determination of some exact values of Ramsey numbers of type R( Pi, ... three-color Ramsey numbers for paths versus a cycle, see [3, 4, 5, 13].In this paper, we provide the exact value of the Ramsey numbers R(Pn1, Pn2, . . . , Pnt, Ck)for certain values of niand ... the exact values of some three-color Ramsey numbers o f type R(Pi, Pj, Ck) as corollaries of our result. Moreover, we determinethe exact value of the multicolor Ramsey number R(Pn1,...
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Báo cáo toán học: "Sharp threshold functions for random intersection graphs via a coupling method" potx
... journal of combinatorics 18 (2011), #P36 6 Sharp threshold functions for random intersection graphs via a coupling method.Katarzyna RybarczykFaculty of Mathematics and Computer Science,Adam ... p)using intermediate auxiliary random graphs. From them we can deduce the assertion ofthe theorem.First recall (see for example [8]) that if for some graph valued random variables G1and G2dT ... C. and Spirakis, P. G. On the existence of hamiltonian cyclesin random intersection graphs. In: Automata, Languages and Programming 32ndInternational Colloquium, ICALP 2005, Lis bon, Portugal,...
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Báo cáo toán học: "On Multivariate Chromatic Polynomials of Hypergraphs and Hyperedge Elimination" docx
... paper we introduce multivariate hyperedge elimination polynomials and multivariate chromatic polynomials for hypergraphs. The first set of polynomi-als is defined in terms of a deletion-contraction-extraction ... Polynomial for Special Classes of Hypergraphs Here we study the multivariate chromatic polynomials of complete r-uniform hypergraphs, complete r-uniform hyperstars, and sunflower hypergraphs. In some sense, ... p-coloring of HìS, and the mono chromatic hyperedges of this coloringare the primary hyperedges of H. Moreover, there are (q − p)|V |−|S |colorings fsuch thatf−1([p]) = S and f|S=...
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