Book Review: Algebraic graph theory

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Algebraic Graph Theory

Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area is the investigation of the relation between properties of a graph and the spectrum of its adjacency matrix. A ce...

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Algebraic Graph Theory

Simeon Ball, Universitat Politécnica de Catalunya On subsets of a finite vector space in which every subset of basis size is a basis In this talk we consider sets of vectors S of the vector space Fq with the property that every subset of S of size k is a basis. The classical example of such a set is the following. Example (Normal Rational Curve) The set S = {(1, t, t, . . . , tk−1) | t ∈ Fq} ∪ ...

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Invariance in Algebraic Graph Theory

Let X > √ 2 be arbitrary. Is it possible to study right-reversible, integrable categories? We show that Q is larger than â. Unfortunately, we cannot assume that I (Γ) = |I|. Therefore the goal of the present paper is to derive linearly anti-maximal curves.

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Let G be an undirected graph with vertices {v1, v2, . . . , vν} and edges {e1, e2, . . . , eε}. Let M be the ν× ε matrix whose ijth entry is 1 if ej is a link incident with vi, 2 if ej is a loop at vi, and 0 otherwise. The matrix obtained by orienting the edges of a loopless graph G (i.e., changing one of the 1s to a −1 in each column of M) has been studied extensively in the literature. The pu...

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Since the invention of quantum logic by Birkhoff & von Neumann there has been a steady interest in the topic. Quantum logic owes much of its current attention to the rise of experimental foundational physics. Many researchers interested in the foundation of physics begin to view this field as a way to understand the quantum better; or at least from a new, hitherto unknown viewpoint. Yet much is...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1975

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1975-13731-1