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中国地质大学科学技术发展院吴奕德，葛明峰*等，机电学院，Nonlinear Dynamics（2020），Task-space bipartite tracking of networked robotic systems via hierarchical finite-time control
非线性；动力学领域
2021/10/15
近日，机电学院葛明峰副教授团队硕士研究生吴奕德以第一作者在非线性动力学领域《Nonlinear Dynamics》期刊上刊发研究成果。该文设计了几种新的有限时间控制算法，成功解决了多机器人系统在多种情况下的竞争一致跟踪问题。
A connection between the bipartite complements of line graphs and the line graphs with two positive eigenvalues
line graphs graph spectra complements Courant-Weyl inequalities
2012/4/16
In 1974 Cvetkovi\'c and Simi\'c showed which graphs $G$ are the bipartite complements of line graphs. In 2002 Borovi\'canin showed which line graphs $L(H)$ have third largest eigenvalue $\lambda_3\leq...
Abstract: Let \Gamma be the generalized random bipartite graph that has two sides Rl and Rr with edges for every pair of vertices between R1 and Rr but no edges within each side, where all the edges a...
The generalized connectivity of complete bipartite graphs
k-connectivity complete bipartite graph edge-disjoint spanning trees
2011/2/28
Let G be a nontrivial connected graph of order n, and k an integer with 2 ≤k ≤ n. For a set S of k vertices of G, let κ(S) denote the maximum number ℓ of edge-disjoint trees T1, T2, . . . , T...
Cohen-Macaulayness of bipartite graphs, revisited
edge ideal of a graph Cohen-Macaulay bipartite graph
2011/1/17
Cohen-Macaulayness of bipartite graphs is investigated by several mathematicians and has been characterized combinatorially. In this note, we give some different combi-natorial conditions for a bipart...
In this paper we study the generalized version of weighted matching in bipartite networks. Consider a weighted matching in a bipartite network in which the nodes derive value from the split of the ma...
All bipartite graphs whose third largest Laplacian eigenvalue is less than 3 have been characterized by Zhang. In this paper, all connected non-bipartite graphs with third largest Laplacian eigenvalue...
On 2-Factors with Prescribed Properties in a Bipartite Graph
Bipartite graph Vertex-disjoint Quadrilateral 2-Factor
2007/12/12
Liu and Yan gave the degree condition for a balanced bipartite graph $G=(V_1,V_2;E)$ to have $k$ vertex-disjoint quadrilaterals containing any given $k$ independent edges $e_1,\ldots, e_k$ of $G$, res...