منابع مشابه
Resolution of indecomposable integral flows on signed graphs
It is well-known that each nonnegative integral flow of a directed graph can be decomposed into a sum of nonnegative graph circuit flows, which cannot be further decomposed into nonnegative integral sub-flows. This is equivalent to saying that indecomposable flows of graphs are those graph circuit flows. Turning from graphs to signed graphs, the indecomposable flows are much richer than that of...
متن کاملClassification of Conformally Indecomposable Integral Flows on Signed Graphs
A conformally indecomposable flow f on a signed graph Σ is a nonzero integral flow that cannot be decomposed into f = f1 + f2, where f1, f2 are nonzero integral flows having the same sign (both ≥ 0 or both ≤ 0) at every edge. This paper is to classify at integer scale conformally indecomposable flows into characteristic vectors of Eulerian cycle-trees — a class of signed graphs having a kind of...
متن کاملThe Daniell Closure
n=1 An = ∅, then lim n→∞ μ(An) = 0. (1.4) Given the ring A of subsets of Ω, a function f : Ω→ R is called A-elementary, if f(Ω) is a finite subset of R and f−1({c} ∈ A for every c ∈ R such that c 6= 0. let E = EA denote the set of all A-elementary functions on E. Provided with the pointwise addition and scalar multiplication of functions, the space F of all functions f : Ω→ R is a vector space ...
متن کاملAn indecomposable PD3-complex : II
We show that there are two homotopy types of PD3 -complexes with fundamental group S3 ∗Z/2Z S3 , and give explicit constructions for each, which differ only in the attachment of the top cell. AMS Classification 57P10; 55M05
متن کاملAn Infinite - Dimensional Homogeneous Indecomposable Continuum
We prove that every homogeneous continuum is an open retract of a non-metric homogeneous indecomposable continuum. 0. Introduction. A continuum X is indecomposable if it cannot be written as the union of two proper subcontinua. Examples of 1-dimensional homogeneous indecomposable continua are the pseudo-arc and the solenoids. J. T. Rogers asked whether there is an example of a homogeneous indec...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1987
ISSN: 0002-9939
DOI: 10.2307/2046664