图论的产生和发展历经了二百多年的历史,图论的思想方法在越来越多的学科中被广泛应用并得以发展。虽然图论在大学数学中的应用看起来困难重重,但它的思想方法却体现独特的简约性和创造性特点。作为重要的数学思想方法,就应该渗透到数学教学需要的地方去,让学生在应用中体会图论的数学思想。一、图论思想在初中数学中应用的必要性 The emergence and development of graph theory has gone through more than two hundred years of history. The methodology of graph theory has been widely applied and developed in more and more disciplines. Although the application of graph theory in college mathematics seems difficult, its method of thinking embodies unique simplicity and creative features. As an important method of mathematical thinking, we should infiltrate the place where mathematics teaching needs, so that students can understand the theory of graph theory in the application. First, the necessity of applying graph theory to mathematics in junior high schools