Maths Crossword

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Across
  1. 2. A correspondence preserving the structure of graphs
  2. 3. An algebraic structure with a binary operation and inverses
  3. 5. A graph in which a path exists between every pair of vertices
  4. 6. A path or cycle that visits every vertex exactly once
  5. 7. A function whose every codomain element is an output
  6. 8. A function that is both one-to-one and onto
  7. 10. A selection of objects where order does not matter
  8. 13. A vertex with no children in a rooted tree
  9. 18. A relation where aRb and bRa imply a equals b
  10. 20. A set containing exactly one element
  11. 21. A tree that includes every vertex of a connected graph
  12. 22. Sets having no common elements
  13. 23. A path or circuit that uses every edge exactly once
  14. 24. A graph that can be drawn without edge crossings
  15. 26. A collection of trees
  16. 27. A function in which different inputs have different outputs
Down
  1. 1. A function formed by applying one function after another
  2. 4. An arrangement of objects in a particular order
  3. 5. The set of possible outputs specified for a function
  4. 9. Sets having the same number of elements
  5. 11. Elements in the universal set that are not in a given set
  6. 12. A numerical value assigned to an edge
  7. 14. A relation where aRb and bRc imply aRc
  8. 15. An algorithm that selects edges in increasing order of weight
  9. 16. Elements common to two or more sets
  10. 17. A semigroup with an identity element
  11. 19. The product of two sets formed using ordered pairs
  12. 25. The designated starting node of a rooted tree