2024/10/08 by Mehdi Nikopour Deilami, Deilami, Mehdi Nikopour, Bohdan Zhelyabovskyy +1
Computer Science · Engineering · #05A99 (Primary) #94C99 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Low-power high-performance VLSI design #Quantum Computing Algorithms and Architecture #Strongly Correlated Electrons (cond-mat.str-el) #VLSI and FPGA Design Techniques
paper · pdf · doi:10.48550/arxiv.2410.07261
openalex publication_date 2024/10/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
n-circuits are series-parallel networks composed of exactly n unit resistors. This paper is focused on evaluating the mean resistance of all n-circuits, Mn, establishing that it lies between 1 and 4.3954 for all n. We ultimately conjecture that Mn converges to 1.25 as n grows, based on computational analysis and other intuitive arguments. Although the number of n-circuits has been explored quite thoroughly, this paper also provides complete proofs of some important results.