A generalization of 0-sum flows in graphs
نویسندگان
چکیده
منابع مشابه
0-Sum and 1-Sum Flows in Regular Graphs
Let G be a graph. Assume that l and k are two natural numbers. An l-sum flow on a graph G is an assignment of non-zero real numbers to the edges of G such that for every vertex v of G the sum of values of all edges incident with v equals l. An l-sum k-flow is an l-sum flow with values from the set {±1, . . . ,±(k − 1)}. Recently, it was proved that for every r, r > 3, r 6= 5, every r-regular gr...
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Zero-Sum Flows in Regular Graphs
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Let G = (V,E) be a simple undirected graph. For a given set L ⊂ R, a function ω : E −→ L is called an L-flow. Given a vector γ ∈ R , we say that ω is a γ-L-flow if for each v ∈ V , the sum of the values on the edges incident to v is γ(v). If γ(v) = c, for all v ∈ V , then the γ-L-flow is called a c-sum L-flow. In this paper we study the existence of γ-L-flows for various choices of sets L of re...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2013.01.005