9.4 Traversal: Eulerian and Hamiltonian Graphs The subject of graph traversals has a long history. In fact, the solution by Leonhard Euler (Switzerland, 1707-83) of the Königsberg …

The octonions can be thought of as octets (or 8-tuples) of real numbers. Every octonion is a real linear combination of the unit octonions: where e0 is the scalar or real element; it may be …

A Hamiltonian path through a graph is a path whose vertex list contains each vertex of the graph exactly once, except if the path is a circuit, in which case the initial vertex appears a second …

6.2 Hamiltonian Graphs G, i.e., a cycle that contains every vertex. A Hamiltonian graph is a graph that contains a Hamiltonian cycle. A Hamiltonian path in a graph G is a spanning path f G, i.e., …

Dec 3, 2025 · A traceable graph is a graph that possesses a Hamiltonian path. Hamiltonian graphs are therefore traceable, but the converse is not necessarily true. Graphs that are not …

Jul 23, 2021 · 7.1 Introduction In this chapter, the word traversability refers primarily to the Eulerian and Hamiltonian properties in line graphs. As we shall see, the connections between …

Jul 28, 2025 · Here, we saw the information travel through the wormhole.” Learning a traversable wormhole Hamiltonian from the SYK model. (CREDIT: Nature) Researchers compared the …

Aug 17, 2021 · Definition 9 4 2: Hamiltonian Path, Circuit, and Graphs A Hamiltonian path through a graph is a path whose vertex list contains each vertex of the graph exactly once, except if …

Non-traversable wormholes are simple solutions of general relativity and are closely connected to black holes. They can be interpreted as entangled states. Entanglement is related to …

Nov 30, 2022 · Graphical representation of the traversable wormhole in a quantum processor. A qubit is transmitted using the same microscopic mechanism of quantum teleportation as …