• Hamiltonian coloring, named after William Rowan Hamilton, is a type of graph coloring. Hamiltonian coloring uses a concept called detour distance between...
    3 KB (376 words) - 18:03, 11 August 2023
  • Thumbnail for Graph coloring
    In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph...
    67 KB (7,996 words) - 16:56, 29 August 2024
  • Thumbnail for Edge coloring
    edge coloring of a graph by the colors red, blue, and green. Edge colorings are one of several different types of graph coloring. The edge-coloring problem...
    65 KB (8,472 words) - 14:53, 9 October 2024
  • Thumbnail for Petersen graph
    The Petersen graph has a Hamiltonian path but no Hamiltonian cycle. It is the smallest bridgeless cubic graph with no Hamiltonian cycle. It is hypohamiltonian...
    24 KB (2,933 words) - 00:46, 29 August 2024
  • more accurate the simulation. If the Hamiltonian is represented as a Sparse matrix, the distributed edge coloring algorithm can be used to decompose it...
    9 KB (1,181 words) - 14:01, 22 August 2024
  • Goldberg–Seymour conjecture Graph coloring game Graph two-coloring Harmonious coloring Incidence coloring List coloring List edge-coloring Perfect graph Ramsey's...
    7 KB (663 words) - 02:52, 24 September 2024
  • Tait's conjecture (category Hamiltonian paths and cycles)
    problem of finding 3-edge-colorings of bridgeless cubic planar graphs. In a Hamiltonian cubic planar graph, such an edge coloring is easy to find: use two...
    5 KB (638 words) - 17:14, 20 September 2023
  • Thumbnail for Cubic graph
    conjecture, states that every bicubic polyhedral graph is Hamiltonian. When a cubic graph is Hamiltonian, LCF notation allows it to be represented concisely...
    15 KB (1,777 words) - 20:46, 11 March 2024
  • Uniquely colorable graph (category Graph coloring)
    colorable graph is a k-chromatic graph that has only one possible (proper) k-coloring up to permutation of the colors. Equivalently, there is only one way to...
    10 KB (1,038 words) - 23:28, 23 September 2024
  • Hadwiger number is never less than the chromatic number. Hamiltonian A Hamiltonian path or Hamiltonian cycle is a simple spanning path or simple spanning cycle:...
    108 KB (15,918 words) - 18:37, 5 October 2024