In this video we will learn about the plotting of graphs for a pair of linear equations in two variables. Two straight lines are obtained when we plot a pair of linear equations on the graph paper ...

How to solve simultaneous equations using graphs. How much is each ticket? Draw a bar to represent one adult and two children’s tickets. Let’s call the adult ticket 𝑦 and the child ticket 𝑥. Another ...

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Abstract: Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we ...

Abstract: The Pathwidth Theorem states that if a class of graphs has unbounded pathwidth, then it contains all trees as graph minors. We prove a similar result for dense graphs: if a class of graphs ...