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- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/05%3A_Graph_Theory
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Discrete_Mathematics_for_Computer_Science_(Fitch)/05%3A_Graph_Theory/5.06%3A_TreesThis page defines key concepts in graph theory, specifically trees, leaves, and spanning trees. It clarifies that a tree is a connected graph without cycles, a leaf is a vertex with a degree of one, a...This page defines key concepts in graph theory, specifically trees, leaves, and spanning trees. It clarifies that a tree is a connected graph without cycles, a leaf is a vertex with a degree of one, and a spanning tree includes all vertices of a graph while maintaining tree properties. The content includes practice checkpoints for identifying trees, drawing non-isomorphic trees, proving tree properties, and finding spanning trees in various graphs.
- https://math.libretexts.org/Courses/Florida_SouthWestern_State_College/MGF_1131%3A_Mathematics_in_Context__(FSW)/07%3A_Graph_TheoryThis chapter discusses fundamental topics in graph theory, such as graph basics, Euler and Hamiltonian circuits, and the Traveling Salesman Problem. It touches on tree structures and includes a visual...This chapter discusses fundamental topics in graph theory, such as graph basics, Euler and Hamiltonian circuits, and the Traveling Salesman Problem. It touches on tree structures and includes a visual representation of a linear program with two variables and six inequalities, demonstrating feasible solutions and a cost function.
- https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Combinatorics_(Morris)/03%3A_Graph_Theory/12%3A_Moving_Through_Graphs/12.04%3A_TreesA special class of graphs that arise often in graph theory, is the class of trees. If a mathematician suspects that something is true for all graphs, one of the first families of graphs for which s/he...A special class of graphs that arise often in graph theory, is the class of trees. If a mathematician suspects that something is true for all graphs, one of the first families of graphs for which s/he will probably try to prove it, is the family of trees because their strong structure makes them much easier to work with than many other families of graphs.
