Add explicit mapping

Author: Zachary Yang

_includes/breadcrumbs.html

@@ -11,9 +11,9 @@
             </li>
 
             <!-- Previous page (if exists) -->
-            {% if page.parent %}
+            {% if page.parent and page.parent_key %}
             <li class="breadcrumb-item" itemprop="itemListElement" itemscope itemtype="https://schema.org/ListItem">
-                <a href="{{ page.parent | slugify | prepend: '/' | relative_url }}" itemprop="item">
+                <a href="{{ page.parent_key | slugify | prepend: '/' | relative_url }}" itemprop="item">
                     <span itemprop="name">{{ page.parent }}</span>
                 </a>
                 <meta itemprop="position" content="2" />

_research_directions/poli-sci/ideology-and-polarization.md

@@ -8,7 +8,9 @@ header:
     overlay_image: /assets/images/research_directions/poli-sci/social_media.webp
 one-liner: How can we measure and understand political conflict?
 excerpt:  From echo chamber to public square, online environments are full of political discussion and conflict. We aim to measure and understand the evolving discourse, and ultimately, how it shapes our beliefs.
+
 parent: Politics & Online Media
+parent_key: poli-sci
 
 ---
 

_research_directions/poli-sci/information-integrity.md

@@ -10,6 +10,7 @@ one-liner: How can we find reliable insights amid a deluge of conflicting inform
 excerpt: The information landscape is increasingly flooded with uncertain and conflicting information. We aim to create understanding and tools that will empower all of us in navigating this landscape and finding the trustworthy insights every person wants.
 
 parent: Politics & Online Media
+parent_key: poli-sci
 
 ---
 

_research_directions/poli-sci/social-simulations.md

@@ -10,7 +10,7 @@ one-liner: How can we prototype effective defenses to attacks on information int
 excerpt: We use and develop state-of-the-art approaches to human social system simulation to simulate attacks on information integrity in critical social phenomena and to prototype effective defenses against them. 
 
 parent: Politics & Online Media
-
+parent_key: poli-sci
 ---
 
 {% include breadcrumbs.html %}

_research_directions/temporal-graph-learning/TGF.md

@@ -8,6 +8,7 @@ header:
     overlay_image: /assets/images/research_directions/temporal-graph-learning/TGB.webp
 excerpt: ""
 parent: Temporal Graph Learning
+parent_key: temporal-graph-learning
 
 project_1:
   - title: "Foundation Model"

_research_directions/temporal-graph-learning/tga.md

@@ -8,7 +8,9 @@ header:
     overlay_image: /assets/images/research_directions/temporal-graph-learning/TGA.jpg
 one-liner: How to deploy TGL methods for applications such as disease modeling, anomaly detection and forecasting?
 excerpt: Explore the cutting-edge applications of temporal graph learning, from real-time fraud detection to advanced disease modeling. Discover how dynamic network analysis enhances accuracy and efficiency in various domains.
+
 parent: Temporal Graph Learning
+parent_key: temporal-graph-learning
 
 ---
 

_research_directions/temporal-graph-learning/tgb.md

@@ -9,7 +9,9 @@ header:
     overlay_size: contain
 one-liner: How to realistically, reproducibly, and robustly evaluate machine learning models on temporal graphs?
 excerpt: ""
+
 parent: Temporal Graph Learning
+parent_key: temporal-graph-learning
 
 ---