𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Arithmetical properties of finite graphs and polynomials

✍ Scribed by J Knopfmacher

Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
525 KB
Volume
20
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Arithmetic Properties of Bernoulli–PadΓ©
Arithmetic Properties of Bernoulli–PadΓ© Numbers and Polynomials
✍ Karl Dilcher; Louise Louise πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 126 KB

A class of generating functions based on the PadΓ© approximants of the exponential function gives a doubly infinite class of number and polynomial sequences. These generalize the Bernoulli numbers and polynomials, as well as other sequences found in the literature. We derive analogues of the Kummer c

Finite Contractions of Graphs with Polyn
Finite Contractions of Graphs with Polynomial Growth
✍ AndrΓ‘s LukΓ‘cs; Norbert Seifter πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 86 KB

Let X be a locally finite, vertex-transitive, infinite graph with polynomial growth. Then there exists a quotient group of Aut(X ) which contains a finitely generated nilpotent subgroup N which has the same growth rate as X . We show that X contains a subgraph which is finitely contractible onto the

Finiteness properties of differential po
Finiteness properties of differential polynomials
✍ Tsiu-Kwen Lee πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 176 KB

Let R be a prime ring with extended centroid C and let Ο† X j i be a reduced differential polynomial with coefficients in Q , the symmetric Martindale quotient ring of R, and with zero constant term. We prove that the finiteness of A Ο† and the finite-dimensionality of the C-span of A Ο† are equivalen

Clique polynomials and independent set p
Clique polynomials and independent set polynomials of graphs
✍ Cornelis Hoede; Xueliang Li πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 492 KB

This paper introduces two kinds of graph polynomials, clique polynomial and independent set polynomial. The paper focuses on expansions of these polynomials. Some open problems are mentioned.