Efficiently finding low-sum copies of spanning forests in zero-sum complete graphs via conditional expectation
نویسندگان
چکیده
For a fixed positive ϵ, we show the existence of constant Cϵ with following property: Given ±1-edge-labeling c:E(Kn)→{−1,1} complete graph Kn c(E(Kn))=0, and spanning forest F maximum degree Δ, one can determine in polynomial time an isomorphic copy F′ |c(E(F′))|≤34+ϵΔ+Cϵ. Our approach is based on method conditional expectation.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2023
ISSN: ['1872-6771', '0166-218X']
DOI: https://doi.org/10.1016/j.dam.2022.12.014