The disjoint union C j ∪C k ∪ C l is component of three cycles C j , C k and C l . In this paper, we show that the disjoint union graph C j ∪ C k ∪ C l is harmonious for odd j+ k +l with l ≥ j + k + 5.
Solène Song (9923501)Malek Senoussi (15878008)Paul Escande (15878011)Paul Villoutreix (4442428)
Mohammed A. Alazawi (12161012)Shiguo Jiang (12161015)Steven F. Messner (7120976)
Natalia B. Shustova (1464106)Igor V. Kuvychko (2227720)Robert D. Bolskar (2377267)Konrad Seppelt (1469203)Steven H. Strauss (1298514)Alexey A. Popov (1278525)Olga V. Boltalina (1298520)
Elise J. Kuylen (13282013)Andrea Torneri (6002417)Lander Willem (119855)Pieter J. K. Libin (6681254)Steven Abrams (5858870)Pietro Coletti (4753305)Nicolas Franco (11629444)Frederik Verelst (3376124)Philippe Beutels (43663)Jori Liesenborgs (13282016)Niel Hens (43661)
Sheng Zhang (111330)Joan Ponce (11408705)Zhen Zhang (86004)Guang Lin (2248189)George Karniadakis (4357654)