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发表于 2025-3-21 16:45:21 | 显示全部楼层 |阅读模式
书目名称Graphs in Perturbation Theory
编辑Michael Borinsky
视频video
丛书名称Springer Theses
图书封面Titlebook: ;
出版日期Book 2018
版次1
doihttps://doi.org/10.1007/978-3-030-03541-9
isbn_ebook978-3-030-03541-9Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
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发表于 2025-3-21 20:33:02 | 显示全部楼层
Graphs,raph as a set of vertices and a set of edges. Our definition includes so called multigraphs, graphs where multiple edges are allowed, in a natural way. We will consider sets of . and . to be the building blocks of a graph. Based on those sets, a graph consists of a map that associates half-edges wit
发表于 2025-3-22 00:28:52 | 显示全部楼层
The Ring of Factorially Divergent Power Series, is solely concerned with sequences ., which admit an asymptotic expansion for large . of the form, .for some ., . and . as they appeared in the statement of Theorem .. The theory of these sequences is independent of the theory of zero-dimensional QFT and graphical enumeration, but necessary to anal
发表于 2025-3-22 06:16:25 | 显示全部楼层
https://doi.org/10.1007/978-3-476-03282-9 It captures the asymptotic behaviour of power series associated to graph counting problems. Second is the Hopf algebraic structure which gives an algebraic description of . structures of graphs. The Hopf algebraic structure permits the explicit enumeration of graphs with constraints for the allowed
发表于 2025-3-22 11:30:15 | 显示全部楼层
https://doi.org/10.1007/978-94-015-7572-0raph as a set of vertices and a set of edges. Our definition includes so called multigraphs, graphs where multiple edges are allowed, in a natural way. We will consider sets of . and . to be the building blocks of a graph. Based on those sets, a graph consists of a map that associates half-edges wit
发表于 2025-3-22 15:00:32 | 显示全部楼层
发表于 2025-3-22 20:02:00 | 显示全部楼层
https://doi.org/10.1007/978-94-015-7572-0. We will consider sets of . and . to be the building blocks of a graph. Based on those sets, a graph consists of a map that associates half-edges with vertices and an involution on the set of half-edges that maps a half-edge to its other half. Naturally, two half-edges make up an edge this way.
发表于 2025-3-22 22:10:40 | 显示全部楼层
https://doi.org/10.1007/978-3-476-03282-9 subgraphs. Together both structures give an algebraic formulation of large graphs with forbidden subgraphs. The detailed analysis of both these structures is motivated by perturbative quantum field theory.
发表于 2025-3-23 03:57:58 | 显示全部楼层
发表于 2025-3-23 07:00:16 | 显示全部楼层
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