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#developers #エンジニア #Android #CL #FanTech #Jetpack_Compose #R_D
arXiv math.CO botMatchgate signatures under variable permutations
Boning Meng, Yicheng Pan
https://arxiv.org/abs/2503.21194 https://arxiv.org/pdf/2503.21194 https://arxiv.org/html/2503.21194
arXiv:2503.21194v1 Announce Type: new
Abstract: In this article, we give a sufficient and necessary condition for determining whether a matchgate signature retains its property under a certain variable permutation, which can be checked in polynomial time. We also define the concept of permutable matchgate signatures, and use it to erase the gap between Pl-\#CSP and \#CSP on planar graphs in the previous study. We provide a detailed characterization of permutable matchgate signatures as well, by presenting their relation to symmetric matchgate signatures. In addition, we prove a dichotomy for Pl-$\#R_D$-CSP where $D\ge 3$ is an integer.
Matchgate signatures under variable permutations
In this article, we give a sufficient and necessary condition for determining whether a matchgate signature retains its property under a certain variable permutation, which can be checked in polynomial time. We also define the concept of permutable matchgate signatures, and use it to erase the gap between Pl-\#CSP and \#CSP on planar graphs in the previous study. We provide a detailed characterization of permutable matchgate signatures as well, by presenting their relation to symmetric matchgate signatures. In addition, we prove a dichotomy for Pl-$\#R_D$-CSP where $D\ge 3$ is an integer.
Huawei building chip equipment R&D center in Shanghai
https://asia.nikkei.com/Business/Tech/Semiconductors/Huawei-building-vast-chip-equipment-R-D-center-in-Shanghai
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https://asia.nikkei.com/Business/Tech/Semiconductors/Huawei-building-vast-chip-equipment-R-D-center-in-Shanghai
#ycombinator #Huawei #building #vast #chip #equipment #R_D #center #Shanghai
