Templates

<div id="vueapp" class="vue-app">
    <kendo-panelbar ref="panelbar"
                    id="panelbar"
                    :template="template"
                    :data-source="dataSource"
                    >
    </kendo-panelbar>
</div>
<style>
    #panelbar .k-sprite {
        background-image: url("https://demos.telerik.com/kendo-ui/content/web/treeview/coloricons-sprite.png");
    }

    .rootfolder { background-position: 0 0; }
    .folder     { background-position: 0 -16px; }
    .pdf        { background-position: 0 -32px; }
    .html       { background-position: 0 -48px; }
    .image      { background-position: 0 -64px; }
</style>

Vue.use(LayoutInstaller);

new Vue({
    el: "#vueapp",
    data: function() {
        return {
            template: "#: item.text #",
            dataSource: [{
                id: 1, text: "My Documents", expanded: true, spriteCssClass: "rootfolder", items: [
                    {
                        id: 2, text: "Kendo UI Project", expanded: true, spriteCssClass: "folder", items: [
                            { id: 3, text: "about.html", spriteCssClass: "html" },
                            { id: 4, text: "index.html", spriteCssClass: "html" },
                            { id: 5, text: "logo.png", spriteCssClass: "image" }
                        ]
                    },
                    {
                        id: 6, text: "New Web Site", expanded: true, spriteCssClass: "folder", items: [
                            { id: 7, text: "mockup.jpg", spriteCssClass: "image" },
                            { id: 8, text: "Research.pdf", spriteCssClass: "pdf" },
                        ]
                    },
                    {
                        id: 9, text: "Reports", expanded: true, spriteCssClass: "folder", items: [
                            { id: 10, text: "February.pdf", spriteCssClass: "pdf" },
                            { id: 11, text: "March.pdf", spriteCssClass: "pdf" },
                            { id: 12, text: "April.pdf", spriteCssClass: "pdf" }
                        ]
                    }
                ]
            }]
        }
    }
})