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Saturation problems in the Ramsey theory of graphs, posets and point sets [PDF]
In 1964, Erd s, Hajnal and Moon introduced a saturation version of Tur n's classical theorem in extremal graph theory. In particular, they determined the minimum number of edges in a $K_r$-free, $n$-vertex graph with the property that the addition of any further edge yields a copy of $K_r$. We consider analogues of this problem in other settings.
Gábor Damásdi+7 more
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Aiming at maneuvering, input saturation, and communication interference in the controller design for formation control multi-agent systems, a novel nonlinear bounded controller is proposed.
Zhigang Xiong+3 more
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Utilizing m-Polar Fuzzy Saturation Graphs for Optimized Allocation Problem Solutions
It is well known that crisp graph theory is saturated. However, saturation in a fuzzy environment has only lately been created and extensively researched. It is necessary to consider m components for each node and edge in an m-polar fuzzy graph.
Abdulaziz M. Alanazi+4 more
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Collaborative consensus control of multiagent systems has become an important research topic in the field of artificial intelligence in recent years. This paper deals with the couple-group consensus for the first order discrete-time systems with input ...
Qi Han+6 more
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Triangles in Ks-saturated graphs with minimum degree t
For $n \geq 15$, we prove that the minimum number of triangles in an $n$-vertex $K_4$-saturated graph with minimum degree 4 is exactly $2n-4$, and that there is a unique extremal graph.
Craig Timmons+3 more
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Underwater Image Enhancement Based on the Improved Algorithm of Dark Channel
Enhancing underwater images presents a challenging problem owing to the influence of ocean currents, the refraction, absorption and scattering of light by suspended particles, and the weak illumination intensity.
Dachang Zhu
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Terminal Impact Time Control Cooperative Guidance Law for UAVs under Time-Varying Velocity
Aiming at the problem that multiple Unmanned Aerial Vehicles (UAVs) attack the stationary target cooperatively under time-varying velocity, the cooperative guidance law with finite time convergence on two-dimensional plan and the three-dimensional ...
Zhanyuan Jiang+3 more
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Social Network Analysis and Churn Prediction in Telecommunications Using Graph Theory
Due to telecommunications market saturation, it is very important for telco operators to always have fresh insights into their customer’s dynamics. In that regard, social network analytics and its application with graph theory can be very useful. In this
Stefan M. Kostić+2 more
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Constraint impulsive consensus of nonlinear multi-agent systems with impulsive time windows
In this paper, the constraint impulsive consensus problem of nonlinear multi-agent systems in directed network is discussed. Impulsive time windows are designed for solving consensus problem of multi-agent systems.
Qiangqiang Zhang+3 more
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The dependence of the enthalpy change of formation of saturated acyclic ketones on molecular structure (the number of carbon atoms, the position of the carbonyl group, and the branching of the molecules) was investigated. For this purpose, a simple computational model, the parameterization of which is based on spectral graph theory, was developed.
Ana Gligorijevic+3 more
openaire +5 more sources