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Science --- Artificial intelligence. Robotics. Simulation. Graphics --- graphs

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Computer science --- Graph theory --- Computer science. --- Data processing --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Informatics --- Science --- Extremal problems

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Computer science --- Graph theory --- Computer science. --- Data processing --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Informatics --- Science --- Extremal problems

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The present reprint contains twelve papers published in the Special Issue “Advances in Discrete Applied Mathematics and Graph Theory, 2021” of the MDPI Mathematics journal, which cover a wide range of topics connected to the theory and applications of Graph Theory and Discrete Applied Mathematics. The focus of the majority of papers is on recent advances in graph theory and applications in chemical graph theory. In particular, the topics studied include bipartite and multipartite Ramsey numbers, graph coloring and chromatic numbers, several varieties of domination (Double Roman, Quasi-Total Roman, Total 3-Roman) and two graph indices of interest in chemical graph theory (Sombor index, generalized ABC index), as well as hyperspaces of graphs and local inclusive distance vertex irregular graphs.

Research & information: general --- Mathematics & science --- dominating set --- total roman {3}-domination --- NP-complete --- linear-time algorithm --- Ramsey numbers --- multipartite Ramsey numbers --- stripes --- paths --- cycle --- ABC index --- generalizedABC index --- general Randić index --- topological indices --- converse Hölder inequality --- local antimagic labeling --- local antimagic chromatic number --- copies of graphs --- hyperspace --- graph --- dendroid --- dendrite --- (inclusive) distance vertex irregular labeling --- local (inclusive) distance vertex irregular labeling --- quasi-total Roman domination --- total Roman domination --- Roman domination --- double Roman domination --- generalized Petersen graph --- discharging method --- graph cover --- double Roman graph --- topological index --- vertex degree --- Sombor index --- cactus --- quasi-unicyclic graph --- bipartite Ramsey numbers --- Zarankiewicz number --- total coloring --- dumbbell maximal planar graphs --- I-dumbbell maximal planar graphs --- dumbbell transformation --- total coloring algorithm --- domination coloring --- domination chromatic number --- split graphs --- generalized Petersen graphs --- corona products --- edge corona products --- dominating set --- total roman {3}-domination --- NP-complete --- linear-time algorithm --- Ramsey numbers --- multipartite Ramsey numbers --- stripes --- paths --- cycle --- ABC index --- generalizedABC index --- general Randić index --- topological indices --- converse Hölder inequality --- local antimagic labeling --- local antimagic chromatic number --- copies of graphs --- hyperspace --- graph --- dendroid --- dendrite --- (inclusive) distance vertex irregular labeling --- local (inclusive) distance vertex irregular labeling --- quasi-total Roman domination --- total Roman domination --- Roman domination --- double Roman domination --- generalized Petersen graph --- discharging method --- graph cover --- double Roman graph --- topological index --- vertex degree --- Sombor index --- cactus --- quasi-unicyclic graph --- bipartite Ramsey numbers --- Zarankiewicz number --- total coloring --- dumbbell maximal planar graphs --- I-dumbbell maximal planar graphs --- dumbbell transformation --- total coloring algorithm --- domination coloring --- domination chromatic number --- split graphs --- generalized Petersen graphs --- corona products --- edge corona products

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This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the X International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2021). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks, and technological networks.

Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Dynamics. --- Computational intelligence. --- Graph theory. --- Applied Dynamical Systems. --- Computational Intelligence. --- Graph Theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Extremal problems