Response to Jacobson

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Alec Jacobson Teaching Statement

My passion for teaching began early. Throughout high school and college, I tutored English to African immigrants. Later, while student teaching remedial and gifted-and-talented mathematics at a New York City public middle school, I realized the diversity of how students learn. Some students thrive off interactive lectures, while others do not fully digest a lecture until working out examples at...

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The HLA D/DR region of the human major histocompatibility complex encodes a family of highly polymorphic, human "Ia-like" molecules that function as genetic restriction elements in a variety of immune phenomena (1, 2). Correlations have been demonstrated between disease susceptibility and particular HLA D/DR antigens (1, 3, 4). Recent evidence (5-7) has demonstrated a considerable heterogeneity...

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$n$-Array Jacobson graphs

We generalize the notion of Jacobson graphs into $n$-array columns called $n$-array Jacobson graphs and determine their connectivities and diameters. Also, we will study forbidden structures of these graphs and determine when an $n$-array Jacobson graph is planar, outer planar, projective, perfect or domination perfect.

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Distributive Lattices of Jacobson Rings

We characterize the distributive lattices of Jacobson rings and prove that if a semiring is a distributive lattice of Jacobson rings, then, up to isomorphism, it is equal to the subdirect product of a distributive lattice and a Jacobson ring. Also, we give a general method to construct distributive lattices of Jacobson rings.

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Using Edge Exchanges to Prove the Erdős-jacobson-lehel Conjecture

We consider a problem in extremal graph theory as introduced by Erdős, Jacobson and Lehel in [3]. That is, given an n-term graphic degree sequence, for n sufficiently large, we prove that the minimum degree sum necessary to guarantee a realization containing a t-clique, t ≥ 2, is (t − 2)(2n − t + 1) + 2. The proof involves the notion of an edge exchange, which is well-known but has not been use...

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ژورنال

عنوان ژورنال: American Review of Politics

سال: 2003

ISSN: 2374-779X,2374-7781

DOI: 10.15763/issn.2374-7781.2003.24.0.245-248