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ISBN: 9780444891105 0444891102 9780444883957 0444883959 9786611789701 1281789704 0080867901 9786611782832 1281782831 0080867855 Year: 1990 Volume: 50 Publisher: Amsterdam New York New York, N.Y., U.S.A. North-Holland Distributors for the U.S.A. and Canada
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Eulerian Graphs and Related Topics
Eulerian graph theory --- Eulerian graph theory. --- Algebra --- Mathematics --- Physical Sciences & Mathematics
ISBN: 1281789704 9786611789701 0080867901 0444891102 Year: 1991 Publisher: Amsterdam ; New York : North-Holland,
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Eulerian Graphs and Related Topics
Eulerian graph theory. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Eulerian graphs --- Graphs, Eulerian --- Extremal problems
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ISBN: 1493903047 1493903055 Year: 2014 Publisher: New York, NY : Springer New York : Imprint: Springer,
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Covering Walks in Graphs is aimed at researchers and graduate students in the graph theory community and provides a comprehensive treatment on measures of two well studied graphical properties, namely Hamiltonicity and traversability in graphs. This text looks into the famous Kӧnigsberg Bridge Problem, the Chinese Postman Problem, the Icosian Game and the Traveling Salesman Problem as well as well-known mathematicians who were involved in these problems. The concepts of different spanning walks with examples and present classical results on Hamiltonian numbers and upper Hamiltonian numbers of graphs are described; in some cases, the authors provide proofs of these results to illustrate the beauty and complexity of this area of research. Two new concepts of traceable numbers of graphs and traceable numbers of vertices of a graph which were inspired by and closely related to Hamiltonian numbers are introduced. Results are illustrated on these two concepts and the relationship between traceable concepts and Hamiltonian concepts are examined. Describes several variations of traceable numbers, which provide new frame works for several well-known Hamiltonian concepts and produce interesting new results.
Eulerian graph theory. --- Graph theory. --- Hamiltonian graph theory. --- Graph theory --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Graphs, Hamiltonian --- Hamiltonian graphs --- Eulerian graphs --- Graphs, Eulerian --- Graphs, Theory of --- Theory of graphs --- Extremal problems --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Combinatorics. --- Graph Theory. --- Applications of Mathematics. --- Combinatorial analysis --- Topology --- Math --- Science --- Combinatorics --- Mathematical analysis --- Engineering --- Engineering analysis
Book
ISBN: 3030577767 3030577759 Year: 2021 Publisher: Springer International Publishing
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This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.
Mechanics. --- Mechanics, Applied. --- Biomechanics. --- Solid Mechanics. --- Classical Mechanics. --- Biological mechanics --- Mechanical properties of biological structures --- Biophysics --- Mechanics --- Contractility (Biology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Continuum mechanics. --- Eulerian graph theory. --- Eulerian graphs --- Graphs, Eulerian --- Graph theory --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)
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