Chari proved that if Δ 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. Math. Soc.…
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…

V. V. Kljuev and N. I. Kokovkin\v S\v cerbak [\v Z. Vy\v cisl. Mat. i Mat.\nFiz. <strong>5</strong> (1965), 2133; \n<A HREF="/msnmain?fn=105&fmt=doc&r=1&pg1=CNO&s1=172453&loc=fromrevtext">MR0172453 (30 \#2672)</A>; \nEnglish translation,…

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: 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…

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…

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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…

The BatesonDobzhanskyMuller model predicts that postzygotic isolation evolves due to the accumulation of incompatible epistatic interactions, but few studies have quantified the relationship between genetic architecture and patterns of…

Genomescale metabolic models bridge the gap between genomederived biochemical information and metabolic phenotypes in a principled manner, providing a solid interpretative framework for experimental data related to metabolic states, and enabling…

Microbial cells operate under governing constraints that limit their range of possible functions. With the availability of annotated genome sequences, it has become possible to reconstruct genomescale biochemical reaction networks for…

BACKGROUND: Several strains of bacteria have sequenced and annotated genomes, which have been used in conjunction with biochemical and physiological data to reconstruct genomescale metabolic networks. Such reconstruction amounts to a…

Endocytosis is a key cellular process, encompassing different entry routes and endocytic compartments. To what extent endocytosis is subjected to highorder regulation by the cellular signalling machinery remains unclear. Using highthroughput RNA…

Sediment and groundwater profiles were compared in two villages of Bangladesh to understand the geochemical and hydrogeological factors that regulate dissolved As concentrations in groundwater. In both villages, finegrained sediment layers separate…
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