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  2. Sum coloring - Wikipedia

    en.wikipedia.org/wiki/Sum_coloring

    The sum of the labels is 11, smaller than could be achieved using only two labels. In graph theory, a sum coloring of a graph is a labeling of its vertices by positive integers, with no two adjacent vertices having equal labels, that minimizes the sum of the labels. The minimum sum that can be achieved is called the chromatic sum of the graph. [1]

  3. Magic square - Wikipedia

    en.wikipedia.org/wiki/Magic_square

    During the construction of the 3×3 magic square, the Greek and Latin squares with just three unique terms are much easier to deal with than the original square with nine different terms. The row sum and the column sum of the Greek square will be the same, α + β + γ, if each letter appears exactly once in a given column or a row.

  4. Magic constant - Wikipedia

    en.wikipedia.org/wiki/Magic_constant

    The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. For example, the magic square shown below has a magic constant of 15.

  5. Graph coloring - Wikipedia

    en.wikipedia.org/wiki/Graph_coloring

    The smallest number of colors needed for an edge coloring of a graph G is the chromatic index, or edge chromatic number, χ ′ (G). A Tait coloring is a 3-edge coloring of a cubic graph. The four color theorem is equivalent to the assertion that every planar cubic bridgeless graph admits a Tait coloring.

  6. Graph labeling - Wikipedia

    en.wikipedia.org/wiki/Graph_labeling

    A "harmonious labeling" on a graph G is an injection from the vertices of G to the group of integers modulo k, where k is the number of edges of G, that induces a bijection between the edges of G and the numbers modulo k by taking the edge label for an edge (x, y) to be the sum of the labels of the two vertices x, y (mod k). A "harmonious graph ...

  7. Puzzle solutions for Thursday, Nov. 28, 2024

    www.aol.com/news/puzzle-solutions-thursday-nov...

    SUDOKU. Play the USA TODAY Sudoku Game.. JUMBLE. Jumbles: MACAW MUSIC SYSTEM STEREO. Answer: Their Thanksgiving dinner included gravy that everyone thought — WAS “SAUCE-SOME”

  8. Nonogram - Wikipedia

    en.wikipedia.org/wiki/Nonogram

    Add the clues together, plus 1 for each "space" in between. For example, if the clue is 6 2 3, this step produces the sum 6 + 1 + 2 + 1 + 3 = 13. Subtract this number from the total available in the row (usually the width or height of the puzzle). For example, if the clue in step 1 is in a row 15 cells wide, the difference is 15 - 13 = 2.

  9. “Laguna Beach ”Cast Reunites at 20-Year High School Reunion ...

    www.aol.com/laguna-beach-cast-reunites-20...

    Lauren Conrad/Instagram. Trey Phillips, Lauren Conrad and Dieter Schmitz at their 20th high school reunion; Laguna Beach High School’s Class of 2004 members in photos taken on Nov. 30, 2024