... K3 ,3 -minor free graph only Next we may assume that G is an edge-maximal K3 ,3 -minor free graph √ 3n − , By Theorem 2.4 and Lemma 3. 4, when n ≥ 4, ρ G ≤ max{ √ √ 8n√ 1/2 } 8n − 15 /2 , √ √ 3n ... where t when n0 3, G ∼ K3 ⊕2 K5 ⊕2 · · · ⊕2 K5 , where t when n0 4, G ∼ K4 ⊕2 K5 ⊕2 · · · ⊕2 K5 , where t when n0 n, G ∼ G0 is a maximal planar graph n − /3; t n − /3; t t n − /3; Journal of Inequalities ... bipartite graph with n ≥ vertices and m edges If G has no K3 ,3 -minor, then m ≤ 2n − Proof Let H be a simple connected edge-maximal K3 ,3 -minor free graph with n H n G vertices and m H edges Suppose...
... Early Start (July 2005) Fun English for Kids Fiona L Cooper 38 ... God made sisters, God made children just like me, For his loving family Fun English for Kids Fiona L Cooper 33 Food • What is yellow? What is yellow? Can you see? Can you see? Melons and bananas, ... What’s this? It’s a ball, it’s very small A cat, a pig, a ball Fun English for Kids Fiona L Cooper 35 The First Lesson Many teachers are unsure of how to begin to teach English to young children Below...
... level found on these web pages vi Teacher’s Notes for Level 3; Kid’s Box My English portfolio Please read the Tips for using the Kid’s Box English language portfolios with your pupils Cover page: ... listening and reading Students and teachers can set achievable, measurable goals by completing tasks based on the learner’s current level iv Tips for using the Kid’s Box English portfolios with your ... Welcome to the Kid’s Box English Portfolios Homepage! Dear Teacher, We hope you are enjoying using Kid’s Box! If you are wondering what to with the English portfolios...