Chari proved that if ?? is a (d  1)dimensional simplicial complex with a convex ear decomposition, then h0 ??? ??? ??? h??? d / 2 ??? [M.K. Chari, Two decompositions in topological combinatorics with applications to matroid complexes, Trans. Amer.…
Papers in Discrete Mathematics
Discrete Mathematics papers in Mathematics, G
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The first monograph of the gall wasps (Hymenoptera: Cynipoidea, Cynipidae) of the fauna of Ukraine. Thc general part contains a bricf introduction to the morphology of adults and premature Stages,. biology and ecology, phylogcny and evolution of…

A passage from the Talmud whose explanation eluded commentators for two millennia is elucidated with the aid of principles suggested by modern mathematical Theory of Games.

We consider the problem of Internet switching, where traffic is generated by selfish users. We study a packetized (TCPlike) traffic model, which is more accurate than the widely used fluid model. We assume that routers have FirstInFirstOut…

Calf strains are common injuries seen in primary care and sports medicine clinics. Differentiating strains of the gastrocnemius or soleus is important for treatment and prognosis. Simple clinical testing can assist in diagnosis and is aided by…

We browsers support secure online transactions, and provide visual feedback mechanisms to inform the user about security. These mechanisms have had little evaluation to determine how easily they are noticed and how effectively they are used. This…

V. V. Kljuev and N. I. Kokovkinv Sv cerbak v Z. Vyv cisl. Mat. i Mat. Fiz. 5 (1965), 21膒33; ; English translation, Tech. Rep. No. CS 24, Comput. Sci. Dept., Stanford Univ., Stanford, Calif., 1965 have proved that, if one restricts oneself to…

Duplication is a prominent feature of plant genomic architecture. This has led many researchers to speculate that gene duplication may have played an important role in the evolution of phenotypic novelty within plants. Until recently, however, it…

Cells are dynamical systems of biomolecular interactions that process information from their environment to mount diverse yet specific responses. A key property of many selforganized systems is that of criticality: a state of a system in which, on…

BACKGROUND: The size distribution of gene families in a broad range of genomes is well approximated by a generalized Pareto function. Evolution of ensembles of gene families can be described with Birth, Death, and Innovation Models (BDIMs). Analysis…

The field of phylogenetics is entering a new era in which trees of historical relationships between species are increasingly inferred from multilocus and genomic data. A major challenge for incorporating such large amounts of data into inference of…

BACKGROUND: Electronic clinical decision support (CDS) is increasingly establishing its role in evidencebased clinical practice. Considerable evidence supports its enhancement of efficiency in ePrescribing, but some controversy remains. This study…

A generalization of Einstein's gravitational theory is discussed in which the spin of matter as well as its mass plays a dynamical role. The spin of matter couples to a nonRiemannian structure in spacetime, Cartan's torsion tensor. The theory…

In this paper we discuss general tridiagonal matrix models which are natural extensions of the ones given by Dumitriu and Edelman. We prove here the convergence of the distribution of the eigenvalues and compute the limiting distributions in some…

Kochen and Specker's theorem can be seen as a consequence of Gleason's theorem and logical compactness. Similar compactness arguments lead to stronger results about finite sets of rays in Hilbert space, which we also prove by a direct construction.…

In this paper we present an easy computation of a generalized form of barycentric coordinates for irregular, convex nsided polygons. Triangular barycentric coordinates have had many classical applications in computer graphics, from texture mapping…

Recently, the concept of minimal cut sets has been introduced for studying structural fragility and identifying knockout strategies in biochemical reaction networks. A minimal cut set (MCS) has been defined as a minimal set of reactions whose…

A Monte Carlo computer program is available to generate samples drawn from a population evolving according to a WrightFisher neutral model. The program assumes an infinitesites model of mutation, and allows recombination, gene conversion,…

The intracellular activity of the p53 tumor suppressor protein is regulated through a feedback loop involving its transcriptional target, mdm2. We present a simple mathematical model suggesting that, under certain circumstances, oscillations in p53…

Genetic algorithms (GAs) are computer programs that mimic the processes of biological evolution in order to solve problems and to model evolutionary systems. In this paper I describe the appeal of using ideas from evolution to solve computational…
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