Jul 3, 2012 · In this thesis, we study rainbow cycles and paths in proper edge colorings of complete graphs, and we prove that in every proper edge coloring ...
Aug 31, 2020 · Title:Rainbow cycles vs. rainbow paths ... Abstract:An edge-colored graph F is {\it rainbow} if each edge of F has a unique color. The {\it ...
In this thesis, we study rainbow cycles and paths in proper edge colorings of complete graphs, and we prove that in every proper edge coloring of K_n, there is ...
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We can connect these paths to form a Hamilton cycle by adding edges; the resulting Hamilton cycle has at most + colors. For = 2 2, we have 2 + 1. Thus at most ...
Jan 15, 2018 · So in this survey we will consider long rainbow paths rather than all rainbow paths. In this survey, we will focus on long rainbow paths and ...
In this paper we consider optimal edge colored fan graph and wheel graph. On those graph we could obtain rainbow path or cycle, that is path or cycle whose ...
Rainbow Cycles and Paths in Fan and Wheel Graph - AIP Publishing
pubs.aip.org › doi › 020196_1_online
In this paper we consider optimal edge colored fan graph and wheel graph. On those graph we could obtain rainbow path or cycle, that is path or cycle whose all ...
Sep 1, 2020 · Consider a vertex vi on a rainbow cycle C = v1v2 ···v v1. Each edge vix where x is not on C must be colored with a color used on an edge of C ( ...
An edge-colored graph F is rainbow if each edge of F has a unique color. The rainbow Tur´an number ex*(n, F) of a graph F is the maximum possible number of ...
A subset F of edges of G is called rainbow if no distinct edges in F receive the same color, and a graph is called rainbow if its edge-set is rainbow. Specially ...