algebraic graph theory 中文意思是什麼
algebraic graph theory
解釋
代數圖論-
To completely avoid producing elements jointed at their corner nodes and checkerboard patterns, which frequently occur when the topology optimization of plane continuum is studied, the theory of topology analysis of plane continuum in topology optimization process and the simple algorithm for programming are studied. according to algebraic topology theory, the boundary of elements and plane continuum are operated as a one - dimensional complex. by use of the adjacency vector in graph theory, the structural topology is described and the topological operation is achieved on a computer. by above, the structural topological feature in the evolutionary process is gained. these methods are effcient and reliable. under topology constraints, according to the results of stress analysis, by deleting elements and moving nodes at the boundary, more satisfactory results can be gained by using a few numbers of elements and iterations. to demonstrate the efficiency of these methods, solutions including some well - known classical problems are presented
避免目前平面連續體結構拓撲優化過程中經常出現的單元鉸接以及「棋盤格」等現象，研究了連續體結構拓撲優化過程的拓撲分析方法，以及在計算機上實現的簡便演算法.根據代數拓撲理論，單元及連續體的邊界作為1 -復形進行運算.利用圖論中的鄰接向量概念，在計算機上實現了結構的拓撲描述及拓撲運算，得到了結構在拓撲演化過程中的拓撲特性，方法簡單、可靠.在一定的拓撲約束下，根據應力分析結果，採用刪除單元、單元退化、移動節點等方法，可以用較少單元得到更為滿意的結果，提高計算效率.為演示方法的有效性，給出幾個包括常見經典問題的解答 -
And some other construction methods based on finite geometry, graph theory and group theory are also depicted. an algebraic construction method for ldpc codes with 8 - girth is proposed based on complete residue system. simulation results show that these codes can achieve better performance than randomly constructed regular ldpc codes over awgn channel
最後，在分析、研究現有構造方法的基礎上，基於代數中的完全剩餘系，作者提出了一種代數構造方法，使得ldpc碼對應因子圖上的圍長為8 ，並採用計算機對其性能進行了模擬，結果表明該碼能夠取得比較理想的譯碼性能。
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