WebRainbow numbers for paths in planar graphs Downloadable (with restrictions)! Given a family of graphs F and a subgraph H of F∈F, let rb(F,H) denote the smallest number k so … WebRainbow numbers for paths in planar graphs Zhongmei Qin, Shasha Li, Yongxin Lanand Jun Yue Applied Mathematics and Computation, 2024, vol. 397, issue C Abstract:Given a family of graphs F and a subgraph H of F∈F, let rb(F,H) denote the smallest number k so that there is a rainbow H in any k-edge-colored F.
Rainbow numbers for paths in planar graphs - ScienceDirect
WebRainbow numbers for paths in planar graphs Zhongmei Qin, Shasha Li, Yongxin Lanand Jun Yue Applied Mathematics and Computation, 2024, vol. 397, issue C Abstract:Given a … WebOct 1, 2024 · Jendrol et al. initiated the rainbow number of matchings in planar graphs and they obtained bounds for the rainbow number of the matching k K 2 in the plane triangulations, where the gap between the lower and upper bounds is O ( k 3 ). In this paper, we show that the rainbow number of the matching k K 2 in maximal outerplanar graphs of … pearson math lab mastering
EconPapers: Rainbow numbers for paths in planar graphs
WebA subdivision of a graph is a graph formed by subdividing its edges into paths of one or more edges. Kuratowski's theorem states that a finite graph G {\displaystyle G} is planar if it is not possible to subdivide the edges of K 5 {\displaystyle K_{5}} or K 3 , 3 {\displaystyle K_{3,3}} , and then possibly add additional edges and vertices, to ... WebMay 19, 2014 · In the article, the existence of rainbow cycles in edge colored plane triangulations is studied. It is shown that the minimum number of colors that force the existence of a rainbow C3 in any n -vertex plane triangulation is equal to . For a lower bound and for an upper bound of the number is determined. Citing Literature Volume 78, Issue 4 WebFeb 2, 2012 · The Maximum Number of Triangles in C2k+1-Free Graphs - Volume 21 Issue 1-2 ... The maximum number of paths of length four in a planar graph. Discrete Mathematics, Vol. 344, Issue. 5, p. 112317. CrossRef; ... The Generalized Rainbow Turán Problem for Cycles. SIAM Journal on Discrete Mathematics, Vol. 36, Issue. 1, p. 436. ... meander gcse geography